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Finding the Third Proportional to 125,414 and 254,068

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Solution

The third proportional to 125,414 and 254,068 is: 514,699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,414 : 254,068 = 254,068 : x
  2. Step 2: Convert to fraction form
    125,414/254,068 = 254,068/x
  3. Step 3: Cross multiply
    125,414x = 254,068 × 254,068
  4. Step 4: Simplify right side
    125,414x = 64,550,548,624
  5. Step 5: Solve for x
    x = 64,550,548,624/125,414
  6. Step 6: Final answer
    x = 514,699.70

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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.