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Finding the Third Proportional to 96,052.50 and 141,594.75

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Solution

The third proportional to 96,052.50 and 141,594.75 is: 208,730.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,052.50 : 141,594.75 = 141,594.75 : x
  2. Step 2: Convert to fraction form
    96,052.50/141,594.75 = 141,594.75/x
  3. Step 3: Cross multiply
    96,052.50x = 141,594.75 × 141,594.75
  4. Step 4: Simplify right side
    96,052.50x = 20,049,073,227.56
  5. Step 5: Solve for x
    x = 20,049,073,227.56/96,052.50
  6. Step 6: Final answer
    x = 208,730.36

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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.