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Finding the Third Proportional to 77,397.38 and 158,074.88

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Solution

The third proportional to 77,397.38 and 158,074.88 is: 322,849.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,397.38 : 158,074.88 = 158,074.88 : x
  2. Step 2: Convert to fraction form
    77,397.38/158,074.88 = 158,074.88/x
  3. Step 3: Cross multiply
    77,397.38x = 158,074.88 × 158,074.88
  4. Step 4: Simplify right side
    77,397.38x = 24,987,666,106.27
  5. Step 5: Solve for x
    x = 24,987,666,106.27/77,397.38
  6. Step 6: Final answer
    x = 322,849.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.