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Finding the Third Proportional to 125,150 and 254,646

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Solution

The third proportional to 125,150 and 254,646 is: 518,134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,150 : 254,646 = 254,646 : x
  2. Step 2: Convert to fraction form
    125,150/254,646 = 254,646/x
  3. Step 3: Cross multiply
    125,150x = 254,646 × 254,646
  4. Step 4: Simplify right side
    125,150x = 64,844,585,316
  5. Step 5: Solve for x
    x = 64,844,585,316/125,150
  6. Step 6: Final answer
    x = 518,134.92

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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.