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Finding the Third Proportional to 124,548 and 193,384

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Solution

The third proportional to 124,548 and 193,384 is: 300,264.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,548 : 193,384 = 193,384 : x
  2. Step 2: Convert to fraction form
    124,548/193,384 = 193,384/x
  3. Step 3: Cross multiply
    124,548x = 193,384 × 193,384
  4. Step 4: Simplify right side
    124,548x = 37,397,371,456
  5. Step 5: Solve for x
    x = 37,397,371,456/124,548
  6. Step 6: Final answer
    x = 300,264.73

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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.