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Finding the Third Proportional to 61,635 and 88,077

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Solution

The third proportional to 61,635 and 88,077 is: 125,862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,635 : 88,077 = 88,077 : x
  2. Step 2: Convert to fraction form
    61,635/88,077 = 88,077/x
  3. Step 3: Cross multiply
    61,635x = 88,077 × 88,077
  4. Step 4: Simplify right side
    61,635x = 7,757,557,929
  5. Step 5: Solve for x
    x = 7,757,557,929/61,635
  6. Step 6: Final answer
    x = 125,862.87

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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.