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Finding the Third Proportional to 103,959 and 160,906

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Solution

The third proportional to 103,959 and 160,906 is: 249,047.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,959 : 160,906 = 160,906 : x
  2. Step 2: Convert to fraction form
    103,959/160,906 = 160,906/x
  3. Step 3: Cross multiply
    103,959x = 160,906 × 160,906
  4. Step 4: Simplify right side
    103,959x = 25,890,740,836
  5. Step 5: Solve for x
    x = 25,890,740,836/103,959
  6. Step 6: Final answer
    x = 249,047.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.