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Finding the Third Proportional to 100,602 and 149,176.69

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Solution

The third proportional to 100,602 and 149,176.69 is: 221,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,602 : 149,176.69 = 149,176.69 : x
  2. Step 2: Convert to fraction form
    100,602/149,176.69 = 149,176.69/x
  3. Step 3: Cross multiply
    100,602x = 149,176.69 × 149,176.69
  4. Step 4: Simplify right side
    100,602x = 22,253,684,093.47
  5. Step 5: Solve for x
    x = 22,253,684,093.47/100,602
  6. Step 6: Final answer
    x = 221,205.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.