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Finding the Third Proportional to 81,594 and 172,988

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Solution

The third proportional to 81,594 and 172,988 is: 366,753.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,594 : 172,988 = 172,988 : x
  2. Step 2: Convert to fraction form
    81,594/172,988 = 172,988/x
  3. Step 3: Cross multiply
    81,594x = 172,988 × 172,988
  4. Step 4: Simplify right side
    81,594x = 29,924,848,144
  5. Step 5: Solve for x
    x = 29,924,848,144/81,594
  6. Step 6: Final answer
    x = 366,753.05

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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.