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Finding the Third Proportional to 100,202 and 156,040

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Solution

The third proportional to 100,202 and 156,040 is: 242,993.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,202 : 156,040 = 156,040 : x
  2. Step 2: Convert to fraction form
    100,202/156,040 = 156,040/x
  3. Step 3: Cross multiply
    100,202x = 156,040 × 156,040
  4. Step 4: Simplify right side
    100,202x = 24,348,481,600
  5. Step 5: Solve for x
    x = 24,348,481,600/100,202
  6. Step 6: Final answer
    x = 242,993.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.