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Finding the Third Proportional to 81,502.50 and 172,818

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Solution

The third proportional to 81,502.50 and 172,818 is: 366,443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,502.50 : 172,818 = 172,818 : x
  2. Step 2: Convert to fraction form
    81,502.50/172,818 = 172,818/x
  3. Step 3: Cross multiply
    81,502.50x = 172,818 × 172,818
  4. Step 4: Simplify right side
    81,502.50x = 29,866,061,124
  5. Step 5: Solve for x
    x = 29,866,061,124/81,502.50
  6. Step 6: Final answer
    x = 366,443.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.