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Finding the Third Proportional to 77,508 and 169,830

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Solution

The third proportional to 77,508 and 169,830 is: 372,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,508 : 169,830 = 169,830 : x
  2. Step 2: Convert to fraction form
    77,508/169,830 = 169,830/x
  3. Step 3: Cross multiply
    77,508x = 169,830 × 169,830
  4. Step 4: Simplify right side
    77,508x = 28,842,228,900
  5. Step 5: Solve for x
    x = 28,842,228,900/77,508
  6. Step 6: Final answer
    x = 372,119.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.