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Finding the Third Proportional to 39,719 and 86,590

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Solution

The third proportional to 39,719 and 86,590 is: 188,771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,719 : 86,590 = 86,590 : x
  2. Step 2: Convert to fraction form
    39,719/86,590 = 86,590/x
  3. Step 3: Cross multiply
    39,719x = 86,590 × 86,590
  4. Step 4: Simplify right side
    39,719x = 7,497,828,100
  5. Step 5: Solve for x
    x = 7,497,828,100/39,719
  6. Step 6: Final answer
    x = 188,771.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.