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Finding the Third Proportional to 36,106.50 and 77,921.75

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Solution

The third proportional to 36,106.50 and 77,921.75 is: 168,163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,106.50 : 77,921.75 = 77,921.75 : x
  2. Step 2: Convert to fraction form
    36,106.50/77,921.75 = 77,921.75/x
  3. Step 3: Cross multiply
    36,106.50x = 77,921.75 × 77,921.75
  4. Step 4: Simplify right side
    36,106.50x = 6,071,799,123.06
  5. Step 5: Solve for x
    x = 6,071,799,123.06/36,106.50
  6. Step 6: Final answer
    x = 168,163.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.