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Finding the Third Proportional to 71,264 and 107,368

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Solution

The third proportional to 71,264 and 107,368 is: 161,763.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,264 : 107,368 = 107,368 : x
  2. Step 2: Convert to fraction form
    71,264/107,368 = 107,368/x
  3. Step 3: Cross multiply
    71,264x = 107,368 × 107,368
  4. Step 4: Simplify right side
    71,264x = 11,527,887,424
  5. Step 5: Solve for x
    x = 11,527,887,424/71,264
  6. Step 6: Final answer
    x = 161,763.13

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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.