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Finding the Third Proportional to 124,117.31 and 191,791.13

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Solution

The third proportional to 124,117.31 and 191,791.13 is: 296,363.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,117.31 : 191,791.13 = 191,791.13 : x
  2. Step 2: Convert to fraction form
    124,117.31/191,791.13 = 191,791.13/x
  3. Step 3: Cross multiply
    124,117.31x = 191,791.13 × 191,791.13
  4. Step 4: Simplify right side
    124,117.31x = 36,783,835,628.77
  5. Step 5: Solve for x
    x = 36,783,835,628.77/124,117.31
  6. Step 6: Final answer
    x = 296,363.46

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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.