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Finding the Third Proportional to 96,750.70 and 142,282.41

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Solution

The third proportional to 96,750.70 and 142,282.41 is: 209,241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,750.70 : 142,282.41 = 142,282.41 : x
  2. Step 2: Convert to fraction form
    96,750.70/142,282.41 = 142,282.41/x
  3. Step 3: Cross multiply
    96,750.70x = 142,282.41 × 142,282.41
  4. Step 4: Simplify right side
    96,750.70x = 20,244,283,128.29
  5. Step 5: Solve for x
    x = 20,244,283,128.29/96,750.70
  6. Step 6: Final answer
    x = 209,241.72

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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.