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Finding the Third Proportional to 67,200.75 and 97,142.63

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Solution

The third proportional to 67,200.75 and 97,142.63 is: 140,425.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,200.75 : 97,142.63 = 97,142.63 : x
  2. Step 2: Convert to fraction form
    67,200.75/97,142.63 = 97,142.63/x
  3. Step 3: Cross multiply
    67,200.75x = 97,142.63 × 97,142.63
  4. Step 4: Simplify right side
    67,200.75x = 9,436,689,591.89
  5. Step 5: Solve for x
    x = 9,436,689,591.89/67,200.75
  6. Step 6: Final answer
    x = 140,425.36

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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.