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Finding the Third Proportional to 106,236 and 155,526.75

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Solution

The third proportional to 106,236 and 155,526.75 is: 227,687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,236 : 155,526.75 = 155,526.75 : x
  2. Step 2: Convert to fraction form
    106,236/155,526.75 = 155,526.75/x
  3. Step 3: Cross multiply
    106,236x = 155,526.75 × 155,526.75
  4. Step 4: Simplify right side
    106,236x = 24,188,569,965.56
  5. Step 5: Solve for x
    x = 24,188,569,965.56/106,236
  6. Step 6: Final answer
    x = 227,687.13

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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.