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Finding the Third Proportional to 36,888 and 78,248

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Solution

The third proportional to 36,888 and 78,248 is: 165,982.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,888 : 78,248 = 78,248 : x
  2. Step 2: Convert to fraction form
    36,888/78,248 = 78,248/x
  3. Step 3: Cross multiply
    36,888x = 78,248 × 78,248
  4. Step 4: Simplify right side
    36,888x = 6,122,749,504
  5. Step 5: Solve for x
    x = 6,122,749,504/36,888
  6. Step 6: Final answer
    x = 165,982.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.