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Finding the Third Proportional to 60,600 and 100,746

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Solution

The third proportional to 60,600 and 100,746 is: 167,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,600 : 100,746 = 100,746 : x
  2. Step 2: Convert to fraction form
    60,600/100,746 = 100,746/x
  3. Step 3: Cross multiply
    60,600x = 100,746 × 100,746
  4. Step 4: Simplify right side
    60,600x = 10,149,756,516
  5. Step 5: Solve for x
    x = 10,149,756,516/60,600
  6. Step 6: Final answer
    x = 167,487.73

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.