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Finding the Third Proportional to 60,770.25 and 97,098.75

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Solution

The third proportional to 60,770.25 and 97,098.75 is: 155,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,770.25 : 97,098.75 = 97,098.75 : x
  2. Step 2: Convert to fraction form
    60,770.25/97,098.75 = 97,098.75/x
  3. Step 3: Cross multiply
    60,770.25x = 97,098.75 × 97,098.75
  4. Step 4: Simplify right side
    60,770.25x = 9,428,167,251.56
  5. Step 5: Solve for x
    x = 9,428,167,251.56/60,770.25
  6. Step 6: Final answer
    x = 155,144.45

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.