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Finding the Third Proportional to 62,850 and 135,537

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Solution

The third proportional to 62,850 and 135,537 is: 292,287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,850 : 135,537 = 135,537 : x
  2. Step 2: Convert to fraction form
    62,850/135,537 = 135,537/x
  3. Step 3: Cross multiply
    62,850x = 135,537 × 135,537
  4. Step 4: Simplify right side
    62,850x = 18,370,278,369
  5. Step 5: Solve for x
    x = 18,370,278,369/62,850
  6. Step 6: Final answer
    x = 292,287.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.