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Finding the Third Proportional to 40,139 and 62,507

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Solution

The third proportional to 40,139 and 62,507 is: 97,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,139 : 62,507 = 62,507 : x
  2. Step 2: Convert to fraction form
    40,139/62,507 = 62,507/x
  3. Step 3: Cross multiply
    40,139x = 62,507 × 62,507
  4. Step 4: Simplify right side
    40,139x = 3,907,125,049
  5. Step 5: Solve for x
    x = 3,907,125,049/40,139
  6. Step 6: Final answer
    x = 97,339.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.