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Finding the Third Proportional to 125,192 and 268,196

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Solution

The third proportional to 125,192 and 268,196 is: 574,550.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,192 : 268,196 = 268,196 : x
  2. Step 2: Convert to fraction form
    125,192/268,196 = 268,196/x
  3. Step 3: Cross multiply
    125,192x = 268,196 × 268,196
  4. Step 4: Simplify right side
    125,192x = 71,929,094,416
  5. Step 5: Solve for x
    x = 71,929,094,416/125,192
  6. Step 6: Final answer
    x = 574,550.25

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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.