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Finding the Third Proportional to 77,982.75 and 182,158.88

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Solution

The third proportional to 77,982.75 and 182,158.88 is: 425,502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,982.75 : 182,158.88 = 182,158.88 : x
  2. Step 2: Convert to fraction form
    77,982.75/182,158.88 = 182,158.88/x
  3. Step 3: Cross multiply
    77,982.75x = 182,158.88 × 182,158.88
  4. Step 4: Simplify right side
    77,982.75x = 33,181,855,741.27
  5. Step 5: Solve for x
    x = 33,181,855,741.27/77,982.75
  6. Step 6: Final answer
    x = 425,502.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.