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Finding the Third Proportional to 100,946 and 156,745

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Solution

The third proportional to 100,946 and 156,745 is: 243,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,946 : 156,745 = 156,745 : x
  2. Step 2: Convert to fraction form
    100,946/156,745 = 156,745/x
  3. Step 3: Cross multiply
    100,946x = 156,745 × 156,745
  4. Step 4: Simplify right side
    100,946x = 24,568,995,025
  5. Step 5: Solve for x
    x = 24,568,995,025/100,946
  6. Step 6: Final answer
    x = 243,387.50

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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.