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Finding the Third Proportional to 102,237 and 156,924

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Solution

The third proportional to 102,237 and 156,924 is: 240,863.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,237 : 156,924 = 156,924 : x
  2. Step 2: Convert to fraction form
    102,237/156,924 = 156,924/x
  3. Step 3: Cross multiply
    102,237x = 156,924 × 156,924
  4. Step 4: Simplify right side
    102,237x = 24,625,141,776
  5. Step 5: Solve for x
    x = 24,625,141,776/102,237
  6. Step 6: Final answer
    x = 240,863.31

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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.