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Finding the Third Proportional to 96,557.06 and 147,708.56

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Solution

The third proportional to 96,557.06 and 147,708.56 is: 225,957.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,557.06 : 147,708.56 = 147,708.56 : x
  2. Step 2: Convert to fraction form
    96,557.06/147,708.56 = 147,708.56/x
  3. Step 3: Cross multiply
    96,557.06x = 147,708.56 × 147,708.56
  4. Step 4: Simplify right side
    96,557.06x = 21,817,819,435.82
  5. Step 5: Solve for x
    x = 21,817,819,435.82/96,557.06
  6. Step 6: Final answer
    x = 225,957.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.