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Finding the Third Proportional to 112,686.75 and 175,489.88

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Solution

The third proportional to 112,686.75 and 175,489.88 is: 273,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,686.75 : 175,489.88 = 175,489.88 : x
  2. Step 2: Convert to fraction form
    112,686.75/175,489.88 = 175,489.88/x
  3. Step 3: Cross multiply
    112,686.75x = 175,489.88 × 175,489.88
  4. Step 4: Simplify right side
    112,686.75x = 30,796,696,227.52
  5. Step 5: Solve for x
    x = 30,796,696,227.52/112,686.75
  6. Step 6: Final answer
    x = 273,294.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.