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Finding the Third Proportional to 102,288 and 162,830

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Solution

The third proportional to 102,288 and 162,830 is: 259,205.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,288 : 162,830 = 162,830 : x
  2. Step 2: Convert to fraction form
    102,288/162,830 = 162,830/x
  3. Step 3: Cross multiply
    102,288x = 162,830 × 162,830
  4. Step 4: Simplify right side
    102,288x = 26,513,608,900
  5. Step 5: Solve for x
    x = 26,513,608,900/102,288
  6. Step 6: Final answer
    x = 259,205.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.