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Finding the Third Proportional to 77,260 and 167,624

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Solution

The third proportional to 77,260 and 167,624 is: 363,678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,260 : 167,624 = 167,624 : x
  2. Step 2: Convert to fraction form
    77,260/167,624 = 167,624/x
  3. Step 3: Cross multiply
    77,260x = 167,624 × 167,624
  4. Step 4: Simplify right side
    77,260x = 28,097,805,376
  5. Step 5: Solve for x
    x = 28,097,805,376/77,260
  6. Step 6: Final answer
    x = 363,678.56

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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.