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Finding the Third Proportional to 41,670 and 89,289

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Solution

The third proportional to 41,670 and 89,289 is: 191,325.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,670 : 89,289 = 89,289 : x
  2. Step 2: Convert to fraction form
    41,670/89,289 = 89,289/x
  3. Step 3: Cross multiply
    41,670x = 89,289 × 89,289
  4. Step 4: Simplify right side
    41,670x = 7,972,525,521
  5. Step 5: Solve for x
    x = 7,972,525,521/41,670
  6. Step 6: Final answer
    x = 191,325.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.