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Finding the Third Proportional to 71,802 and 147,186

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Solution

The third proportional to 71,802 and 147,186 is: 301,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,802 : 147,186 = 147,186 : x
  2. Step 2: Convert to fraction form
    71,802/147,186 = 147,186/x
  3. Step 3: Cross multiply
    71,802x = 147,186 × 147,186
  4. Step 4: Simplify right side
    71,802x = 21,663,718,596
  5. Step 5: Solve for x
    x = 21,663,718,596/71,802
  6. Step 6: Final answer
    x = 301,714.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.