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Finding the Third Proportional to 71,911.13 and 112,812.75

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Solution

The third proportional to 71,911.13 and 112,812.75 is: 176,978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,911.13 : 112,812.75 = 112,812.75 : x
  2. Step 2: Convert to fraction form
    71,911.13/112,812.75 = 112,812.75/x
  3. Step 3: Cross multiply
    71,911.13x = 112,812.75 × 112,812.75
  4. Step 4: Simplify right side
    71,911.13x = 12,726,716,562.56
  5. Step 5: Solve for x
    x = 12,726,716,562.56/71,911.13
  6. Step 6: Final answer
    x = 176,978.41

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Why These Related Problems?

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