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Finding the Third Proportional to 125,428 and 268,118

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Solution

The third proportional to 125,428 and 268,118 is: 573,135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,428 : 268,118 = 268,118 : x
  2. Step 2: Convert to fraction form
    125,428/268,118 = 268,118/x
  3. Step 3: Cross multiply
    125,428x = 268,118 × 268,118
  4. Step 4: Simplify right side
    125,428x = 71,887,261,924
  5. Step 5: Solve for x
    x = 71,887,261,924/125,428
  6. Step 6: Final answer
    x = 573,135.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.