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Finding the Third Proportional to 41,164 and 88,724

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Solution

The third proportional to 41,164 and 88,724 is: 191,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,164 : 88,724 = 88,724 : x
  2. Step 2: Convert to fraction form
    41,164/88,724 = 88,724/x
  3. Step 3: Cross multiply
    41,164x = 88,724 × 88,724
  4. Step 4: Simplify right side
    41,164x = 7,871,948,176
  5. Step 5: Solve for x
    x = 7,871,948,176/41,164
  6. Step 6: Final answer
    x = 191,233.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.