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Finding the Third Proportional to 49,071.50 and 106,441

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Solution

The third proportional to 49,071.50 and 106,441 is: 230,881.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,071.50 : 106,441 = 106,441 : x
  2. Step 2: Convert to fraction form
    49,071.50/106,441 = 106,441/x
  3. Step 3: Cross multiply
    49,071.50x = 106,441 × 106,441
  4. Step 4: Simplify right side
    49,071.50x = 11,329,686,481
  5. Step 5: Solve for x
    x = 11,329,686,481/49,071.50
  6. Step 6: Final answer
    x = 230,881.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.