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Finding the Third Proportional to 113,348 and 166,566

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Solution

The third proportional to 113,348 and 166,566 is: 244,770.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,348 : 166,566 = 166,566 : x
  2. Step 2: Convert to fraction form
    113,348/166,566 = 166,566/x
  3. Step 3: Cross multiply
    113,348x = 166,566 × 166,566
  4. Step 4: Simplify right side
    113,348x = 27,744,232,356
  5. Step 5: Solve for x
    x = 27,744,232,356/113,348
  6. Step 6: Final answer
    x = 244,770.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.