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Finding the Third Proportional to 69,933.50 and 105,481

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Solution

The third proportional to 69,933.50 and 105,481 is: 159,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,933.50 : 105,481 = 105,481 : x
  2. Step 2: Convert to fraction form
    69,933.50/105,481 = 105,481/x
  3. Step 3: Cross multiply
    69,933.50x = 105,481 × 105,481
  4. Step 4: Simplify right side
    69,933.50x = 11,126,241,361
  5. Step 5: Solve for x
    x = 11,126,241,361/69,933.50
  6. Step 6: Final answer
    x = 159,097.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.