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Finding the Third Proportional to 81,411 and 176,550

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Solution

The third proportional to 81,411 and 176,550 is: 382,870.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,411 : 176,550 = 176,550 : x
  2. Step 2: Convert to fraction form
    81,411/176,550 = 176,550/x
  3. Step 3: Cross multiply
    81,411x = 176,550 × 176,550
  4. Step 4: Simplify right side
    81,411x = 31,169,902,500
  5. Step 5: Solve for x
    x = 31,169,902,500/81,411
  6. Step 6: Final answer
    x = 382,870.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.