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Finding the Third Proportional to 71,152.17 and 107,197.17

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Solution

The third proportional to 71,152.17 and 107,197.17 is: 161,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,152.17 : 107,197.17 = 107,197.17 : x
  2. Step 2: Convert to fraction form
    71,152.17/107,197.17 = 107,197.17/x
  3. Step 3: Cross multiply
    71,152.17x = 107,197.17 × 107,197.17
  4. Step 4: Simplify right side
    71,152.17x = 11,491,233,658.00
  5. Step 5: Solve for x
    x = 11,491,233,658.00/71,152.17
  6. Step 6: Final answer
    x = 161,502.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.