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Finding the Third Proportional to 125,002.88 and 269,551.88

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Solution

The third proportional to 125,002.88 and 269,551.88 is: 581,252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,002.88 : 269,551.88 = 269,551.88 : x
  2. Step 2: Convert to fraction form
    125,002.88/269,551.88 = 269,551.88/x
  3. Step 3: Cross multiply
    125,002.88x = 269,551.88 × 269,551.88
  4. Step 4: Simplify right side
    125,002.88x = 72,658,213,316.02
  5. Step 5: Solve for x
    x = 72,658,213,316.02/125,002.88
  6. Step 6: Final answer
    x = 581,252.34

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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.