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Finding the Third Proportional to 76,752 and 166,376

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Solution

The third proportional to 76,752 and 166,376 is: 360,654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,752 : 166,376 = 166,376 : x
  2. Step 2: Convert to fraction form
    76,752/166,376 = 166,376/x
  3. Step 3: Cross multiply
    76,752x = 166,376 × 166,376
  4. Step 4: Simplify right side
    76,752x = 27,680,973,376
  5. Step 5: Solve for x
    x = 27,680,973,376/76,752
  6. Step 6: Final answer
    x = 360,654.75

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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.