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Finding the Third Proportional to 61,338 and 89,987

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Solution

The third proportional to 61,338 and 89,987 is: 132,017.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,338 : 89,987 = 89,987 : x
  2. Step 2: Convert to fraction form
    61,338/89,987 = 89,987/x
  3. Step 3: Cross multiply
    61,338x = 89,987 × 89,987
  4. Step 4: Simplify right side
    61,338x = 8,097,660,169
  5. Step 5: Solve for x
    x = 8,097,660,169/61,338
  6. Step 6: Final answer
    x = 132,017.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.