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Finding the Third Proportional to 92,772 and 124,286

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Solution

The third proportional to 92,772 and 124,286 is: 166,505.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,772 : 124,286 = 124,286 : x
  2. Step 2: Convert to fraction form
    92,772/124,286 = 124,286/x
  3. Step 3: Cross multiply
    92,772x = 124,286 × 124,286
  4. Step 4: Simplify right side
    92,772x = 15,447,009,796
  5. Step 5: Solve for x
    x = 15,447,009,796/92,772
  6. Step 6: Final answer
    x = 166,505.09

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.