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Finding the Third Proportional to 125,080 and 272,190

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Solution

The third proportional to 125,080 and 272,190 is: 592,320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,080 : 272,190 = 272,190 : x
  2. Step 2: Convert to fraction form
    125,080/272,190 = 272,190/x
  3. Step 3: Cross multiply
    125,080x = 272,190 × 272,190
  4. Step 4: Simplify right side
    125,080x = 74,087,396,100
  5. Step 5: Solve for x
    x = 74,087,396,100/125,080
  6. Step 6: Final answer
    x = 592,320.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.