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Finding the Third Proportional to 47,510 and 75,226

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Solution

The third proportional to 47,510 and 75,226 is: 119,110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,510 : 75,226 = 75,226 : x
  2. Step 2: Convert to fraction form
    47,510/75,226 = 75,226/x
  3. Step 3: Cross multiply
    47,510x = 75,226 × 75,226
  4. Step 4: Simplify right side
    47,510x = 5,658,951,076
  5. Step 5: Solve for x
    x = 5,658,951,076/47,510
  6. Step 6: Final answer
    x = 119,110.74

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Why These Related Problems?

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