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Finding the Third Proportional to 77,578 and 167,534

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Solution

The third proportional to 77,578 and 167,534 is: 361,798.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,578 : 167,534 = 167,534 : x
  2. Step 2: Convert to fraction form
    77,578/167,534 = 167,534/x
  3. Step 3: Cross multiply
    77,578x = 167,534 × 167,534
  4. Step 4: Simplify right side
    77,578x = 28,067,641,156
  5. Step 5: Solve for x
    x = 28,067,641,156/77,578
  6. Step 6: Final answer
    x = 361,798.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.