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Finding the Third Proportional to 126,070 and 268,986

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Solution

The third proportional to 126,070 and 268,986 is: 573,915.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,070 : 268,986 = 268,986 : x
  2. Step 2: Convert to fraction form
    126,070/268,986 = 268,986/x
  3. Step 3: Cross multiply
    126,070x = 268,986 × 268,986
  4. Step 4: Simplify right side
    126,070x = 72,353,468,196
  5. Step 5: Solve for x
    x = 72,353,468,196/126,070
  6. Step 6: Final answer
    x = 573,915.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.