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Finding the Third Proportional to 36,642 and 75,222

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Solution

The third proportional to 36,642 and 75,222 is: 154,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,642 : 75,222 = 75,222 : x
  2. Step 2: Convert to fraction form
    36,642/75,222 = 75,222/x
  3. Step 3: Cross multiply
    36,642x = 75,222 × 75,222
  4. Step 4: Simplify right side
    36,642x = 5,658,349,284
  5. Step 5: Solve for x
    x = 5,658,349,284/36,642
  6. Step 6: Final answer
    x = 154,422.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.