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Finding the Third Proportional to 102,274 and 156,983

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Solution

The third proportional to 102,274 and 156,983 is: 240,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,274 : 156,983 = 156,983 : x
  2. Step 2: Convert to fraction form
    102,274/156,983 = 156,983/x
  3. Step 3: Cross multiply
    102,274x = 156,983 × 156,983
  4. Step 4: Simplify right side
    102,274x = 24,643,662,289
  5. Step 5: Solve for x
    x = 24,643,662,289/102,274
  6. Step 6: Final answer
    x = 240,957.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.