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Finding the Third Proportional to 61,025 and 88,738

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Solution

The third proportional to 61,025 and 88,738 is: 129,036.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,025 : 88,738 = 88,738 : x
  2. Step 2: Convert to fraction form
    61,025/88,738 = 88,738/x
  3. Step 3: Cross multiply
    61,025x = 88,738 × 88,738
  4. Step 4: Simplify right side
    61,025x = 7,874,432,644
  5. Step 5: Solve for x
    x = 7,874,432,644/61,025
  6. Step 6: Final answer
    x = 129,036.18

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.