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Finding the Third Proportional to 71,264 and 112,838

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Solution

The third proportional to 71,264 and 112,838 is: 178,665.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,264 : 112,838 = 112,838 : x
  2. Step 2: Convert to fraction form
    71,264/112,838 = 112,838/x
  3. Step 3: Cross multiply
    71,264x = 112,838 × 112,838
  4. Step 4: Simplify right side
    71,264x = 12,732,414,244
  5. Step 5: Solve for x
    x = 12,732,414,244/71,264
  6. Step 6: Final answer
    x = 178,665.44

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.