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Finding the Third Proportional to 125,971.13 and 192,616.88

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Solution

The third proportional to 125,971.13 and 192,616.88 is: 294,521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,971.13 : 192,616.88 = 192,616.88 : x
  2. Step 2: Convert to fraction form
    125,971.13/192,616.88 = 192,616.88/x
  3. Step 3: Cross multiply
    125,971.13x = 192,616.88 × 192,616.88
  4. Step 4: Simplify right side
    125,971.13x = 37,101,260,534.77
  5. Step 5: Solve for x
    x = 37,101,260,534.77/125,971.13
  6. Step 6: Final answer
    x = 294,521.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.