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Finding the Third Proportional to 102,167 and 158,565

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Solution

The third proportional to 102,167 and 158,565 is: 246,095.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,167 : 158,565 = 158,565 : x
  2. Step 2: Convert to fraction form
    102,167/158,565 = 158,565/x
  3. Step 3: Cross multiply
    102,167x = 158,565 × 158,565
  4. Step 4: Simplify right side
    102,167x = 25,142,859,225
  5. Step 5: Solve for x
    x = 25,142,859,225/102,167
  6. Step 6: Final answer
    x = 246,095.70

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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.