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Finding the Third Proportional to 127,687.50 and 193,306.50

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Solution

The third proportional to 127,687.50 and 193,306.50 is: 292,647.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,687.50 : 193,306.50 = 193,306.50 : x
  2. Step 2: Convert to fraction form
    127,687.50/193,306.50 = 193,306.50/x
  3. Step 3: Cross multiply
    127,687.50x = 193,306.50 × 193,306.50
  4. Step 4: Simplify right side
    127,687.50x = 37,367,402,942.25
  5. Step 5: Solve for x
    x = 37,367,402,942.25/127,687.50
  6. Step 6: Final answer
    x = 292,647.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.