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Finding the Third Proportional to 125,468 and 268,184

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Solution

The third proportional to 125,468 and 268,184 is: 573,235.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,468 : 268,184 = 268,184 : x
  2. Step 2: Convert to fraction form
    125,468/268,184 = 268,184/x
  3. Step 3: Cross multiply
    125,468x = 268,184 × 268,184
  4. Step 4: Simplify right side
    125,468x = 71,922,657,856
  5. Step 5: Solve for x
    x = 71,922,657,856/125,468
  6. Step 6: Final answer
    x = 573,235.07

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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.