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Finding the Third Proportional to 83,654.75 and 127,442.50

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Solution

The third proportional to 83,654.75 and 127,442.50 is: 194,150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,654.75 : 127,442.50 = 127,442.50 : x
  2. Step 2: Convert to fraction form
    83,654.75/127,442.50 = 127,442.50/x
  3. Step 3: Cross multiply
    83,654.75x = 127,442.50 × 127,442.50
  4. Step 4: Simplify right side
    83,654.75x = 16,241,590,806.25
  5. Step 5: Solve for x
    x = 16,241,590,806.25/83,654.75
  6. Step 6: Final answer
    x = 194,150.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.