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Finding the Third Proportional to 125,245.13 and 254,863.13

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Solution

The third proportional to 125,245.13 and 254,863.13 is: 518,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,245.13 : 254,863.13 = 254,863.13 : x
  2. Step 2: Convert to fraction form
    125,245.13/254,863.13 = 254,863.13/x
  3. Step 3: Cross multiply
    125,245.13x = 254,863.13 × 254,863.13
  4. Step 4: Simplify right side
    125,245.13x = 64,955,212,484.77
  5. Step 5: Solve for x
    x = 64,955,212,484.77/125,245.13
  6. Step 6: Final answer
    x = 518,624.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.