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Finding the Third Proportional to 125,412 and 254,064

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Solution

The third proportional to 125,412 and 254,064 is: 514,691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,412 : 254,064 = 254,064 : x
  2. Step 2: Convert to fraction form
    125,412/254,064 = 254,064/x
  3. Step 3: Cross multiply
    125,412x = 254,064 × 254,064
  4. Step 4: Simplify right side
    125,412x = 64,548,516,096
  5. Step 5: Solve for x
    x = 64,548,516,096/125,412
  6. Step 6: Final answer
    x = 514,691.70

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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.