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Finding the Third Proportional to 125,925 and 272,149

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Solution

The third proportional to 125,925 and 272,149 is: 588,168.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,925 : 272,149 = 272,149 : x
  2. Step 2: Convert to fraction form
    125,925/272,149 = 272,149/x
  3. Step 3: Cross multiply
    125,925x = 272,149 × 272,149
  4. Step 4: Simplify right side
    125,925x = 74,065,078,201
  5. Step 5: Solve for x
    x = 74,065,078,201/125,925
  6. Step 6: Final answer
    x = 588,168.18

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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.