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Finding the Third Proportional to 81,502 and 172,816

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Solution

The third proportional to 81,502 and 172,816 is: 366,437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,502 : 172,816 = 172,816 : x
  2. Step 2: Convert to fraction form
    81,502/172,816 = 172,816/x
  3. Step 3: Cross multiply
    81,502x = 172,816 × 172,816
  4. Step 4: Simplify right side
    81,502x = 29,865,369,856
  5. Step 5: Solve for x
    x = 29,865,369,856/81,502
  6. Step 6: Final answer
    x = 366,437.26

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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.