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Finding the Third Proportional to 77,985 and 169,081

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Solution

The third proportional to 77,985 and 169,081 is: 366,588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,985 : 169,081 = 169,081 : x
  2. Step 2: Convert to fraction form
    77,985/169,081 = 169,081/x
  3. Step 3: Cross multiply
    77,985x = 169,081 × 169,081
  4. Step 4: Simplify right side
    77,985x = 28,588,384,561
  5. Step 5: Solve for x
    x = 28,588,384,561/77,985
  6. Step 6: Final answer
    x = 366,588.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.