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Finding the Third Proportional to 83,108 and 162,935

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Solution

The third proportional to 83,108 and 162,935 is: 319,437.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,108 : 162,935 = 162,935 : x
  2. Step 2: Convert to fraction form
    83,108/162,935 = 162,935/x
  3. Step 3: Cross multiply
    83,108x = 162,935 × 162,935
  4. Step 4: Simplify right side
    83,108x = 26,547,814,225
  5. Step 5: Solve for x
    x = 26,547,814,225/83,108
  6. Step 6: Final answer
    x = 319,437.53

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.