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Finding the Third Proportional to 124,842.50 and 193,089.50

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Solution

The third proportional to 124,842.50 and 193,089.50 is: 298,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,842.50 : 193,089.50 = 193,089.50 : x
  2. Step 2: Convert to fraction form
    124,842.50/193,089.50 = 193,089.50/x
  3. Step 3: Cross multiply
    124,842.50x = 193,089.50 × 193,089.50
  4. Step 4: Simplify right side
    124,842.50x = 37,283,555,010.25
  5. Step 5: Solve for x
    x = 37,283,555,010.25/124,842.50
  6. Step 6: Final answer
    x = 298,644.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.