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Finding the Third Proportional to 40,306 and 86,444

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Solution

The third proportional to 40,306 and 86,444 is: 185,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,306 : 86,444 = 86,444 : x
  2. Step 2: Convert to fraction form
    40,306/86,444 = 86,444/x
  3. Step 3: Cross multiply
    40,306x = 86,444 × 86,444
  4. Step 4: Simplify right side
    40,306x = 7,472,565,136
  5. Step 5: Solve for x
    x = 7,472,565,136/40,306
  6. Step 6: Final answer
    x = 185,395.85

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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.