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Finding the Third Proportional to 94,687 and 147,286

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Solution

The third proportional to 94,687 and 147,286 is: 229,103.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,687 : 147,286 = 147,286 : x
  2. Step 2: Convert to fraction form
    94,687/147,286 = 147,286/x
  3. Step 3: Cross multiply
    94,687x = 147,286 × 147,286
  4. Step 4: Simplify right side
    94,687x = 21,693,165,796
  5. Step 5: Solve for x
    x = 21,693,165,796/94,687
  6. Step 6: Final answer
    x = 229,103.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.