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Finding the Third Proportional to 76,376 and 165,820

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Solution

The third proportional to 76,376 and 165,820 is: 360,011.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,376 : 165,820 = 165,820 : x
  2. Step 2: Convert to fraction form
    76,376/165,820 = 165,820/x
  3. Step 3: Cross multiply
    76,376x = 165,820 × 165,820
  4. Step 4: Simplify right side
    76,376x = 27,496,272,400
  5. Step 5: Solve for x
    x = 27,496,272,400/76,376
  6. Step 6: Final answer
    x = 360,011.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.