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Finding the Third Proportional to 81,928.97 and 112,125.52

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Solution

The third proportional to 81,928.97 and 112,125.52 is: 153,451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,928.97 : 112,125.52 = 112,125.52 : x
  2. Step 2: Convert to fraction form
    81,928.97/112,125.52 = 112,125.52/x
  3. Step 3: Cross multiply
    81,928.97x = 112,125.52 × 112,125.52
  4. Step 4: Simplify right side
    81,928.97x = 12,572,131,254.17
  5. Step 5: Solve for x
    x = 12,572,131,254.17/81,928.97
  6. Step 6: Final answer
    x = 153,451.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.