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Finding the Third Proportional to 79,878 and 128,688

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Solution

The third proportional to 79,878 and 128,688 is: 207,323.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,878 : 128,688 = 128,688 : x
  2. Step 2: Convert to fraction form
    79,878/128,688 = 128,688/x
  3. Step 3: Cross multiply
    79,878x = 128,688 × 128,688
  4. Step 4: Simplify right side
    79,878x = 16,560,601,344
  5. Step 5: Solve for x
    x = 16,560,601,344/79,878
  6. Step 6: Final answer
    x = 207,323.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.