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Finding the Third Proportional to 90,241 and 132,283.50

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Solution

The third proportional to 90,241 and 132,283.50 is: 193,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,241 : 132,283.50 = 132,283.50 : x
  2. Step 2: Convert to fraction form
    90,241/132,283.50 = 132,283.50/x
  3. Step 3: Cross multiply
    90,241x = 132,283.50 × 132,283.50
  4. Step 4: Simplify right side
    90,241x = 17,498,924,372.25
  5. Step 5: Solve for x
    x = 17,498,924,372.25/90,241
  6. Step 6: Final answer
    x = 193,913.24

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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.