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Finding the Third Proportional to 79,888 and 125,316

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Solution

The third proportional to 79,888 and 125,316 is: 196,576.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,888 : 125,316 = 125,316 : x
  2. Step 2: Convert to fraction form
    79,888/125,316 = 125,316/x
  3. Step 3: Cross multiply
    79,888x = 125,316 × 125,316
  4. Step 4: Simplify right side
    79,888x = 15,704,099,856
  5. Step 5: Solve for x
    x = 15,704,099,856/79,888
  6. Step 6: Final answer
    x = 196,576.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.