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Finding the Third Proportional to 70,755 and 96,142.50

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Solution

The third proportional to 70,755 and 96,142.50 is: 130,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,755 : 96,142.50 = 96,142.50 : x
  2. Step 2: Convert to fraction form
    70,755/96,142.50 = 96,142.50/x
  3. Step 3: Cross multiply
    70,755x = 96,142.50 × 96,142.50
  4. Step 4: Simplify right side
    70,755x = 9,243,380,306.25
  5. Step 5: Solve for x
    x = 9,243,380,306.25/70,755
  6. Step 6: Final answer
    x = 130,639.25

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.