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Finding the Third Proportional to 129,064.13 and 276,812.25

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Solution

The third proportional to 129,064.13 and 276,812.25 is: 593,697.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,064.13 : 276,812.25 = 276,812.25 : x
  2. Step 2: Convert to fraction form
    129,064.13/276,812.25 = 276,812.25/x
  3. Step 3: Cross multiply
    129,064.13x = 276,812.25 × 276,812.25
  4. Step 4: Simplify right side
    129,064.13x = 76,625,021,750.06
  5. Step 5: Solve for x
    x = 76,625,021,750.06/129,064.13
  6. Step 6: Final answer
    x = 593,697.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.