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Finding the Third Proportional to 36,701.25 and 78,209.63

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Solution

The third proportional to 36,701.25 and 78,209.63 is: 166,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,701.25 : 78,209.63 = 78,209.63 : x
  2. Step 2: Convert to fraction form
    36,701.25/78,209.63 = 78,209.63/x
  3. Step 3: Cross multiply
    36,701.25x = 78,209.63 × 78,209.63
  4. Step 4: Simplify right side
    36,701.25x = 6,116,745,442.64
  5. Step 5: Solve for x
    x = 6,116,745,442.64/36,701.25
  6. Step 6: Final answer
    x = 166,663.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.