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Finding the Third Proportional to 61,539 and 87,996

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Solution

The third proportional to 61,539 and 87,996 is: 125,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,539 : 87,996 = 87,996 : x
  2. Step 2: Convert to fraction form
    61,539/87,996 = 87,996/x
  3. Step 3: Cross multiply
    61,539x = 87,996 × 87,996
  4. Step 4: Simplify right side
    61,539x = 7,743,296,016
  5. Step 5: Solve for x
    x = 7,743,296,016/61,539
  6. Step 6: Final answer
    x = 125,827.46

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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.