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Finding the Third Proportional to 40,664 and 59,143

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Solution

The third proportional to 40,664 and 59,143 is: 86,019.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,664 : 59,143 = 59,143 : x
  2. Step 2: Convert to fraction form
    40,664/59,143 = 59,143/x
  3. Step 3: Cross multiply
    40,664x = 59,143 × 59,143
  4. Step 4: Simplify right side
    40,664x = 3,497,894,449
  5. Step 5: Solve for x
    x = 3,497,894,449/40,664
  6. Step 6: Final answer
    x = 86,019.44

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.