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Finding the Third Proportional to 124,842.38 and 193,089.94

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Solution

The third proportional to 124,842.38 and 193,089.94 is: 298,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,842.38 : 193,089.94 = 193,089.94 : x
  2. Step 2: Convert to fraction form
    124,842.38/193,089.94 = 193,089.94/x
  3. Step 3: Cross multiply
    124,842.38x = 193,089.94 × 193,089.94
  4. Step 4: Simplify right side
    124,842.38x = 37,283,723,963.75
  5. Step 5: Solve for x
    x = 37,283,723,963.75/124,842.38
  6. Step 6: Final answer
    x = 298,646.38

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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.