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Finding the Third Proportional to 36,117 and 77,562

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Solution

The third proportional to 36,117 and 77,562 is: 166,565.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,117 : 77,562 = 77,562 : x
  2. Step 2: Convert to fraction form
    36,117/77,562 = 77,562/x
  3. Step 3: Cross multiply
    36,117x = 77,562 × 77,562
  4. Step 4: Simplify right side
    36,117x = 6,015,863,844
  5. Step 5: Solve for x
    x = 6,015,863,844/36,117
  6. Step 6: Final answer
    x = 166,565.99

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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.