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Finding the Third Proportional to 34,166 and 74,348

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Solution

The third proportional to 34,166 and 74,348 is: 161,787.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,166 : 74,348 = 74,348 : x
  2. Step 2: Convert to fraction form
    34,166/74,348 = 74,348/x
  3. Step 3: Cross multiply
    34,166x = 74,348 × 74,348
  4. Step 4: Simplify right side
    34,166x = 5,527,625,104
  5. Step 5: Solve for x
    x = 5,527,625,104/34,166
  6. Step 6: Final answer
    x = 161,787.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.