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Finding the Third Proportional to 72,175 and 108,581

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Solution

The third proportional to 72,175 and 108,581 is: 163,350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,175 : 108,581 = 108,581 : x
  2. Step 2: Convert to fraction form
    72,175/108,581 = 108,581/x
  3. Step 3: Cross multiply
    72,175x = 108,581 × 108,581
  4. Step 4: Simplify right side
    72,175x = 11,789,833,561
  5. Step 5: Solve for x
    x = 11,789,833,561/72,175
  6. Step 6: Final answer
    x = 163,350.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.