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Finding the Third Proportional to 125,393.06 and 274,114.13

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Solution

The third proportional to 125,393.06 and 274,114.13 is: 599,224.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,393.06 : 274,114.13 = 274,114.13 : x
  2. Step 2: Convert to fraction form
    125,393.06/274,114.13 = 274,114.13/x
  3. Step 3: Cross multiply
    125,393.06x = 274,114.13 × 274,114.13
  4. Step 4: Simplify right side
    125,393.06x = 75,138,553,524.52
  5. Step 5: Solve for x
    x = 75,138,553,524.52/125,393.06
  6. Step 6: Final answer
    x = 599,224.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.