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Finding the Third Proportional to 61,872 and 96,507

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Solution

The third proportional to 61,872 and 96,507 is: 150,530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,872 : 96,507 = 96,507 : x
  2. Step 2: Convert to fraction form
    61,872/96,507 = 96,507/x
  3. Step 3: Cross multiply
    61,872x = 96,507 × 96,507
  4. Step 4: Simplify right side
    61,872x = 9,313,601,049
  5. Step 5: Solve for x
    x = 9,313,601,049/61,872
  6. Step 6: Final answer
    x = 150,530.14

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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.