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Finding the Third Proportional to 67,251.50 and 97,709

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Solution

The third proportional to 67,251.50 and 97,709 is: 141,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,251.50 : 97,709 = 97,709 : x
  2. Step 2: Convert to fraction form
    67,251.50/97,709 = 97,709/x
  3. Step 3: Cross multiply
    67,251.50x = 97,709 × 97,709
  4. Step 4: Simplify right side
    67,251.50x = 9,547,048,681
  5. Step 5: Solve for x
    x = 9,547,048,681/67,251.50
  6. Step 6: Final answer
    x = 141,960.38

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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.