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Finding the Third Proportional to 97,196 and 127,626

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Solution

The third proportional to 97,196 and 127,626 is: 167,582.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,196 : 127,626 = 127,626 : x
  2. Step 2: Convert to fraction form
    97,196/127,626 = 127,626/x
  3. Step 3: Cross multiply
    97,196x = 127,626 × 127,626
  4. Step 4: Simplify right side
    97,196x = 16,288,395,876
  5. Step 5: Solve for x
    x = 16,288,395,876/97,196
  6. Step 6: Final answer
    x = 167,582.99

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.