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Finding the Third Proportional to 111,562 and 169,959

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Solution

The third proportional to 111,562 and 169,959 is: 258,923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,562 : 169,959 = 169,959 : x
  2. Step 2: Convert to fraction form
    111,562/169,959 = 169,959/x
  3. Step 3: Cross multiply
    111,562x = 169,959 × 169,959
  4. Step 4: Simplify right side
    111,562x = 28,886,061,681
  5. Step 5: Solve for x
    x = 28,886,061,681/111,562
  6. Step 6: Final answer
    x = 258,923.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.