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Finding the Third Proportional to 39,440 and 86,158

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Solution

The third proportional to 39,440 and 86,158 is: 188,215.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,440 : 86,158 = 86,158 : x
  2. Step 2: Convert to fraction form
    39,440/86,158 = 86,158/x
  3. Step 3: Cross multiply
    39,440x = 86,158 × 86,158
  4. Step 4: Simplify right side
    39,440x = 7,423,200,964
  5. Step 5: Solve for x
    x = 7,423,200,964/39,440
  6. Step 6: Final answer
    x = 188,215.03

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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.