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Finding the Third Proportional to 47,352 and 71,892

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Solution

The third proportional to 47,352 and 71,892 is: 109,149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,352 : 71,892 = 71,892 : x
  2. Step 2: Convert to fraction form
    47,352/71,892 = 71,892/x
  3. Step 3: Cross multiply
    47,352x = 71,892 × 71,892
  4. Step 4: Simplify right side
    47,352x = 5,168,459,664
  5. Step 5: Solve for x
    x = 5,168,459,664/47,352
  6. Step 6: Final answer
    x = 109,149.76

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.