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Finding the Third Proportional to 36,554 and 78,288

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Solution

The third proportional to 36,554 and 78,288 is: 167,670.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,554 : 78,288 = 78,288 : x
  2. Step 2: Convert to fraction form
    36,554/78,288 = 78,288/x
  3. Step 3: Cross multiply
    36,554x = 78,288 × 78,288
  4. Step 4: Simplify right side
    36,554x = 6,129,010,944
  5. Step 5: Solve for x
    x = 6,129,010,944/36,554
  6. Step 6: Final answer
    x = 167,670.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.