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Finding the Third Proportional to 40,596 and 87,654

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Solution

The third proportional to 40,596 and 87,654 is: 189,260.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,596 : 87,654 = 87,654 : x
  2. Step 2: Convert to fraction form
    40,596/87,654 = 87,654/x
  3. Step 3: Cross multiply
    40,596x = 87,654 × 87,654
  4. Step 4: Simplify right side
    40,596x = 7,683,223,716
  5. Step 5: Solve for x
    x = 7,683,223,716/40,596
  6. Step 6: Final answer
    x = 189,260.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.