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Finding the Third Proportional to 61,612 and 88,108

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Solution

The third proportional to 61,612 and 88,108 is: 125,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,612 : 88,108 = 88,108 : x
  2. Step 2: Convert to fraction form
    61,612/88,108 = 88,108/x
  3. Step 3: Cross multiply
    61,612x = 88,108 × 88,108
  4. Step 4: Simplify right side
    61,612x = 7,763,019,664
  5. Step 5: Solve for x
    x = 7,763,019,664/61,612
  6. Step 6: Final answer
    x = 125,998.50

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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.