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Finding the Third Proportional to 106,039.13 and 162,460.69

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Solution

The third proportional to 106,039.13 and 162,460.69 is: 248,903.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,039.13 : 162,460.69 = 162,460.69 : x
  2. Step 2: Convert to fraction form
    106,039.13/162,460.69 = 162,460.69/x
  3. Step 3: Cross multiply
    106,039.13x = 162,460.69 × 162,460.69
  4. Step 4: Simplify right side
    106,039.13x = 26,393,474,982.97
  5. Step 5: Solve for x
    x = 26,393,474,982.97/106,039.13
  6. Step 6: Final answer
    x = 248,903.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.