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Finding the Third Proportional to 62,907 and 96,545

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Solution

The third proportional to 62,907 and 96,545 is: 148,170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,907 : 96,545 = 96,545 : x
  2. Step 2: Convert to fraction form
    62,907/96,545 = 96,545/x
  3. Step 3: Cross multiply
    62,907x = 96,545 × 96,545
  4. Step 4: Simplify right side
    62,907x = 9,320,937,025
  5. Step 5: Solve for x
    x = 9,320,937,025/62,907
  6. Step 6: Final answer
    x = 148,170.11

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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.