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Finding the Third Proportional to 36,122.50 and 77,252.50

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Solution

The third proportional to 36,122.50 and 77,252.50 is: 165,214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,122.50 : 77,252.50 = 77,252.50 : x
  2. Step 2: Convert to fraction form
    36,122.50/77,252.50 = 77,252.50/x
  3. Step 3: Cross multiply
    36,122.50x = 77,252.50 × 77,252.50
  4. Step 4: Simplify right side
    36,122.50x = 5,967,948,756.25
  5. Step 5: Solve for x
    x = 5,967,948,756.25/36,122.50
  6. Step 6: Final answer
    x = 165,214.17

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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.