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Finding the Third Proportional to 36,394 and 77,161.50

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Solution

The third proportional to 36,394 and 77,161.50 is: 163,595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,394 : 77,161.50 = 77,161.50 : x
  2. Step 2: Convert to fraction form
    36,394/77,161.50 = 77,161.50/x
  3. Step 3: Cross multiply
    36,394x = 77,161.50 × 77,161.50
  4. Step 4: Simplify right side
    36,394x = 5,953,897,082.25
  5. Step 5: Solve for x
    x = 5,953,897,082.25/36,394
  6. Step 6: Final answer
    x = 163,595.57

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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.