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Finding the Third Proportional to 110,846 and 162,382

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Solution

The third proportional to 110,846 and 162,382 is: 237,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,846 : 162,382 = 162,382 : x
  2. Step 2: Convert to fraction form
    110,846/162,382 = 162,382/x
  3. Step 3: Cross multiply
    110,846x = 162,382 × 162,382
  4. Step 4: Simplify right side
    110,846x = 26,367,913,924
  5. Step 5: Solve for x
    x = 26,367,913,924/110,846
  6. Step 6: Final answer
    x = 237,878.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.