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Finding the Third Proportional to 100,943 and 156,747

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Solution

The third proportional to 100,943 and 156,747 is: 243,400.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,943 : 156,747 = 156,747 : x
  2. Step 2: Convert to fraction form
    100,943/156,747 = 156,747/x
  3. Step 3: Cross multiply
    100,943x = 156,747 × 156,747
  4. Step 4: Simplify right side
    100,943x = 24,569,622,009
  5. Step 5: Solve for x
    x = 24,569,622,009/100,943
  6. Step 6: Final answer
    x = 243,400.95

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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.