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Finding the Third Proportional to 105,232 and 158,941

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Solution

The third proportional to 105,232 and 158,941 is: 240,062.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,232 : 158,941 = 158,941 : x
  2. Step 2: Convert to fraction form
    105,232/158,941 = 158,941/x
  3. Step 3: Cross multiply
    105,232x = 158,941 × 158,941
  4. Step 4: Simplify right side
    105,232x = 25,262,241,481
  5. Step 5: Solve for x
    x = 25,262,241,481/105,232
  6. Step 6: Final answer
    x = 240,062.35

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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.