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Finding the Third Proportional to 71,327 and 110,332

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Solution

The third proportional to 71,327 and 110,332 is: 170,666.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,327 : 110,332 = 110,332 : x
  2. Step 2: Convert to fraction form
    71,327/110,332 = 110,332/x
  3. Step 3: Cross multiply
    71,327x = 110,332 × 110,332
  4. Step 4: Simplify right side
    71,327x = 12,173,150,224
  5. Step 5: Solve for x
    x = 12,173,150,224/71,327
  6. Step 6: Final answer
    x = 170,666.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.