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Finding the Third Proportional to 124,560 and 193,092.75

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Solution

The third proportional to 124,560 and 193,092.75 is: 299,332.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,560 : 193,092.75 = 193,092.75 : x
  2. Step 2: Convert to fraction form
    124,560/193,092.75 = 193,092.75/x
  3. Step 3: Cross multiply
    124,560x = 193,092.75 × 193,092.75
  4. Step 4: Simplify right side
    124,560x = 37,284,810,102.56
  5. Step 5: Solve for x
    x = 37,284,810,102.56/124,560
  6. Step 6: Final answer
    x = 299,332.13

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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.