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Finding the Third Proportional to 71,958 and 112,632

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Solution

The third proportional to 71,958 and 112,632 is: 176,296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,958 : 112,632 = 112,632 : x
  2. Step 2: Convert to fraction form
    71,958/112,632 = 112,632/x
  3. Step 3: Cross multiply
    71,958x = 112,632 × 112,632
  4. Step 4: Simplify right side
    71,958x = 12,685,967,424
  5. Step 5: Solve for x
    x = 12,685,967,424/71,958
  6. Step 6: Final answer
    x = 176,296.83

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.