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Finding the Third Proportional to 125,389.88 and 271,231.69

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Solution

The third proportional to 125,389.88 and 271,231.69 is: 586,703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,389.88 : 271,231.69 = 271,231.69 : x
  2. Step 2: Convert to fraction form
    125,389.88/271,231.69 = 271,231.69/x
  3. Step 3: Cross multiply
    125,389.88x = 271,231.69 × 271,231.69
  4. Step 4: Simplify right side
    125,389.88x = 73,566,628,304.10
  5. Step 5: Solve for x
    x = 73,566,628,304.10/125,389.88
  6. Step 6: Final answer
    x = 586,703.10

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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.