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Finding the Third Proportional to 36,165 and 77,784

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Solution

The third proportional to 36,165 and 77,784 is: 167,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,165 : 77,784 = 77,784 : x
  2. Step 2: Convert to fraction form
    36,165/77,784 = 77,784/x
  3. Step 3: Cross multiply
    36,165x = 77,784 × 77,784
  4. Step 4: Simplify right side
    36,165x = 6,050,350,656
  5. Step 5: Solve for x
    x = 6,050,350,656/36,165
  6. Step 6: Final answer
    x = 167,298.51

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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.