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Finding the Third Proportional to 102,259 and 156,973

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Solution

The third proportional to 102,259 and 156,973 is: 240,961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,259 : 156,973 = 156,973 : x
  2. Step 2: Convert to fraction form
    102,259/156,973 = 156,973/x
  3. Step 3: Cross multiply
    102,259x = 156,973 × 156,973
  4. Step 4: Simplify right side
    102,259x = 24,640,522,729
  5. Step 5: Solve for x
    x = 24,640,522,729/102,259
  6. Step 6: Final answer
    x = 240,961.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.