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Finding the Third Proportional to 112,932.56 and 165,628.69

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Solution

The third proportional to 112,932.56 and 165,628.69 is: 242,913.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,932.56 : 165,628.69 = 165,628.69 : x
  2. Step 2: Convert to fraction form
    112,932.56/165,628.69 = 165,628.69/x
  3. Step 3: Cross multiply
    112,932.56x = 165,628.69 × 165,628.69
  4. Step 4: Simplify right side
    112,932.56x = 27,432,862,122.97
  5. Step 5: Solve for x
    x = 27,432,862,122.97/112,932.56
  6. Step 6: Final answer
    x = 242,913.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.