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Finding the Third Proportional to 46,332 and 71,802

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Solution

The third proportional to 46,332 and 71,802 is: 111,273.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,332 : 71,802 = 71,802 : x
  2. Step 2: Convert to fraction form
    46,332/71,802 = 71,802/x
  3. Step 3: Cross multiply
    46,332x = 71,802 × 71,802
  4. Step 4: Simplify right side
    46,332x = 5,155,527,204
  5. Step 5: Solve for x
    x = 5,155,527,204/46,332
  6. Step 6: Final answer
    x = 111,273.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.