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Finding the Third Proportional to 129,070.13 and 276,819.19

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Solution

The third proportional to 129,070.13 and 276,819.19 is: 593,699.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,070.13 : 276,819.19 = 276,819.19 : x
  2. Step 2: Convert to fraction form
    129,070.13/276,819.19 = 276,819.19/x
  3. Step 3: Cross multiply
    129,070.13x = 276,819.19 × 276,819.19
  4. Step 4: Simplify right side
    129,070.13x = 76,628,862,568.16
  5. Step 5: Solve for x
    x = 76,628,862,568.16/129,070.13
  6. Step 6: Final answer
    x = 593,699.45

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