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Finding the Third Proportional to 81,583 and 172,953

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Solution

The third proportional to 81,583 and 172,953 is: 366,654.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,583 : 172,953 = 172,953 : x
  2. Step 2: Convert to fraction form
    81,583/172,953 = 172,953/x
  3. Step 3: Cross multiply
    81,583x = 172,953 × 172,953
  4. Step 4: Simplify right side
    81,583x = 29,912,740,209
  5. Step 5: Solve for x
    x = 29,912,740,209/81,583
  6. Step 6: Final answer
    x = 366,654.08

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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.