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Finding the Third Proportional to 72,100 and 107,552

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Solution

The third proportional to 72,100 and 107,552 is: 160,435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,100 : 107,552 = 107,552 : x
  2. Step 2: Convert to fraction form
    72,100/107,552 = 107,552/x
  3. Step 3: Cross multiply
    72,100x = 107,552 × 107,552
  4. Step 4: Simplify right side
    72,100x = 11,567,432,704
  5. Step 5: Solve for x
    x = 11,567,432,704/72,100
  6. Step 6: Final answer
    x = 160,435.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.