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Finding the Third Proportional to 83,907 and 177,534

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Solution

The third proportional to 83,907 and 177,534 is: 375,633.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,907 : 177,534 = 177,534 : x
  2. Step 2: Convert to fraction form
    83,907/177,534 = 177,534/x
  3. Step 3: Cross multiply
    83,907x = 177,534 × 177,534
  4. Step 4: Simplify right side
    83,907x = 31,518,321,156
  5. Step 5: Solve for x
    x = 31,518,321,156/83,907
  6. Step 6: Final answer
    x = 375,633.99

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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.