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Finding the Third Proportional to 113,473 and 166,924

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Solution

The third proportional to 113,473 and 166,924 is: 245,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,473 : 166,924 = 166,924 : x
  2. Step 2: Convert to fraction form
    113,473/166,924 = 166,924/x
  3. Step 3: Cross multiply
    113,473x = 166,924 × 166,924
  4. Step 4: Simplify right side
    113,473x = 27,863,621,776
  5. Step 5: Solve for x
    x = 27,863,621,776/113,473
  6. Step 6: Final answer
    x = 245,552.88

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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.