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Finding the Third Proportional to 36,207 and 77,922

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Solution

The third proportional to 36,207 and 77,922 is: 167,697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,207 : 77,922 = 77,922 : x
  2. Step 2: Convert to fraction form
    36,207/77,922 = 77,922/x
  3. Step 3: Cross multiply
    36,207x = 77,922 × 77,922
  4. Step 4: Simplify right side
    36,207x = 6,071,838,084
  5. Step 5: Solve for x
    x = 6,071,838,084/36,207
  6. Step 6: Final answer
    x = 167,697.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.