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Finding the Third Proportional to 82,052 and 177,928

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Solution

The third proportional to 82,052 and 177,928 is: 385,833.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,052 : 177,928 = 177,928 : x
  2. Step 2: Convert to fraction form
    82,052/177,928 = 177,928/x
  3. Step 3: Cross multiply
    82,052x = 177,928 × 177,928
  4. Step 4: Simplify right side
    82,052x = 31,658,373,184
  5. Step 5: Solve for x
    x = 31,658,373,184/82,052
  6. Step 6: Final answer
    x = 385,833.05

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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.