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Finding the Third Proportional to 100,488 and 159,957

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Solution

The third proportional to 100,488 and 159,957 is: 254,619.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,488 : 159,957 = 159,957 : x
  2. Step 2: Convert to fraction form
    100,488/159,957 = 159,957/x
  3. Step 3: Cross multiply
    100,488x = 159,957 × 159,957
  4. Step 4: Simplify right side
    100,488x = 25,586,241,849
  5. Step 5: Solve for x
    x = 25,586,241,849/100,488
  6. Step 6: Final answer
    x = 254,619.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.