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Finding the Third Proportional to 84,969 and 127,486

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Solution

The third proportional to 84,969 and 127,486 is: 191,277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,969 : 127,486 = 127,486 : x
  2. Step 2: Convert to fraction form
    84,969/127,486 = 127,486/x
  3. Step 3: Cross multiply
    84,969x = 127,486 × 127,486
  4. Step 4: Simplify right side
    84,969x = 16,252,680,196
  5. Step 5: Solve for x
    x = 16,252,680,196/84,969
  6. Step 6: Final answer
    x = 191,277.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.