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Finding the Third Proportional to 61,586 and 99,179

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Solution

The third proportional to 61,586 and 99,179 is: 159,719.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,586 : 99,179 = 99,179 : x
  2. Step 2: Convert to fraction form
    61,586/99,179 = 99,179/x
  3. Step 3: Cross multiply
    61,586x = 99,179 × 99,179
  4. Step 4: Simplify right side
    61,586x = 9,836,474,041
  5. Step 5: Solve for x
    x = 9,836,474,041/61,586
  6. Step 6: Final answer
    x = 159,719.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.