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Finding the Third Proportional to 81,584 and 172,972

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Solution

The third proportional to 81,584 and 172,972 is: 366,730.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,584 : 172,972 = 172,972 : x
  2. Step 2: Convert to fraction form
    81,584/172,972 = 172,972/x
  3. Step 3: Cross multiply
    81,584x = 172,972 × 172,972
  4. Step 4: Simplify right side
    81,584x = 29,919,312,784
  5. Step 5: Solve for x
    x = 29,919,312,784/81,584
  6. Step 6: Final answer
    x = 366,730.15

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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.