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Finding the Third Proportional to 125,403 and 254,046

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Solution

The third proportional to 125,403 and 254,046 is: 514,655.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,403 : 254,046 = 254,046 : x
  2. Step 2: Convert to fraction form
    125,403/254,046 = 254,046/x
  3. Step 3: Cross multiply
    125,403x = 254,046 × 254,046
  4. Step 4: Simplify right side
    125,403x = 64,539,370,116
  5. Step 5: Solve for x
    x = 64,539,370,116/125,403
  6. Step 6: Final answer
    x = 514,655.71

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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.