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Finding the Third Proportional to 106,244 and 155,536

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Solution

The third proportional to 106,244 and 155,536 is: 227,697.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,244 : 155,536 = 155,536 : x
  2. Step 2: Convert to fraction form
    106,244/155,536 = 155,536/x
  3. Step 3: Cross multiply
    106,244x = 155,536 × 155,536
  4. Step 4: Simplify right side
    106,244x = 24,191,447,296
  5. Step 5: Solve for x
    x = 24,191,447,296/106,244
  6. Step 6: Final answer
    x = 227,697.07

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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.