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Finding the Third Proportional to 125,139.94 and 269,967.94

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Solution

The third proportional to 125,139.94 and 269,967.94 is: 582,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,139.94 : 269,967.94 = 269,967.94 : x
  2. Step 2: Convert to fraction form
    125,139.94/269,967.94 = 269,967.94/x
  3. Step 3: Cross multiply
    125,139.94x = 269,967.94 × 269,967.94
  4. Step 4: Simplify right side
    125,139.94x = 72,882,687,278.00
  5. Step 5: Solve for x
    x = 72,882,687,278.00/125,139.94
  6. Step 6: Final answer
    x = 582,409.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.