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Finding the Third Proportional to 100,458 and 151,983

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Solution

The third proportional to 100,458 and 151,983 is: 229,935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,458 : 151,983 = 151,983 : x
  2. Step 2: Convert to fraction form
    100,458/151,983 = 151,983/x
  3. Step 3: Cross multiply
    100,458x = 151,983 × 151,983
  4. Step 4: Simplify right side
    100,458x = 23,098,832,289
  5. Step 5: Solve for x
    x = 23,098,832,289/100,458
  6. Step 6: Final answer
    x = 229,935.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.