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Finding the Third Proportional to 61,642 and 88,082

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Solution

The third proportional to 61,642 and 88,082 is: 125,862.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,642 : 88,082 = 88,082 : x
  2. Step 2: Convert to fraction form
    61,642/88,082 = 88,082/x
  3. Step 3: Cross multiply
    61,642x = 88,082 × 88,082
  4. Step 4: Simplify right side
    61,642x = 7,758,438,724
  5. Step 5: Solve for x
    x = 7,758,438,724/61,642
  6. Step 6: Final answer
    x = 125,862.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.