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Finding the Third Proportional to 62,024 and 135,872

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Solution

The third proportional to 62,024 and 135,872 is: 297,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,024 : 135,872 = 135,872 : x
  2. Step 2: Convert to fraction form
    62,024/135,872 = 135,872/x
  3. Step 3: Cross multiply
    62,024x = 135,872 × 135,872
  4. Step 4: Simplify right side
    62,024x = 18,461,200,384
  5. Step 5: Solve for x
    x = 18,461,200,384/62,024
  6. Step 6: Final answer
    x = 297,646.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.