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Finding the Third Proportional to 78,984 and 125,048

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Solution

The third proportional to 78,984 and 125,048 is: 197,976.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,984 : 125,048 = 125,048 : x
  2. Step 2: Convert to fraction form
    78,984/125,048 = 125,048/x
  3. Step 3: Cross multiply
    78,984x = 125,048 × 125,048
  4. Step 4: Simplify right side
    78,984x = 15,637,002,304
  5. Step 5: Solve for x
    x = 15,637,002,304/78,984
  6. Step 6: Final answer
    x = 197,976.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.