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Finding the Third Proportional to 106,237 and 155,527

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Solution

The third proportional to 106,237 and 155,527 is: 227,685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,237 : 155,527 = 155,527 : x
  2. Step 2: Convert to fraction form
    106,237/155,527 = 155,527/x
  3. Step 3: Cross multiply
    106,237x = 155,527 × 155,527
  4. Step 4: Simplify right side
    106,237x = 24,188,647,729
  5. Step 5: Solve for x
    x = 24,188,647,729/106,237
  6. Step 6: Final answer
    x = 227,685.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.