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Finding the Third Proportional to 61,522 and 87,976

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Solution

The third proportional to 61,522 and 87,976 is: 125,805.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,522 : 87,976 = 87,976 : x
  2. Step 2: Convert to fraction form
    61,522/87,976 = 87,976/x
  3. Step 3: Cross multiply
    61,522x = 87,976 × 87,976
  4. Step 4: Simplify right side
    61,522x = 7,739,776,576
  5. Step 5: Solve for x
    x = 7,739,776,576/61,522
  6. Step 6: Final answer
    x = 125,805.02

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