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Finding the Third Proportional to 82,095.50 and 177,289

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Solution

The third proportional to 82,095.50 and 177,289 is: 382,863.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,095.50 : 177,289 = 177,289 : x
  2. Step 2: Convert to fraction form
    82,095.50/177,289 = 177,289/x
  3. Step 3: Cross multiply
    82,095.50x = 177,289 × 177,289
  4. Step 4: Simplify right side
    82,095.50x = 31,431,389,521
  5. Step 5: Solve for x
    x = 31,431,389,521/82,095.50
  6. Step 6: Final answer
    x = 382,863.73

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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.