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Finding the Third Proportional to 36,092 and 78,724

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Solution

The third proportional to 36,092 and 78,724 is: 171,713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,092 : 78,724 = 78,724 : x
  2. Step 2: Convert to fraction form
    36,092/78,724 = 78,724/x
  3. Step 3: Cross multiply
    36,092x = 78,724 × 78,724
  4. Step 4: Simplify right side
    36,092x = 6,197,468,176
  5. Step 5: Solve for x
    x = 6,197,468,176/36,092
  6. Step 6: Final answer
    x = 171,713.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.