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Finding the Third Proportional to 69,011.50 and 140,558

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Solution

The third proportional to 69,011.50 and 140,558 is: 286,279.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,011.50 : 140,558 = 140,558 : x
  2. Step 2: Convert to fraction form
    69,011.50/140,558 = 140,558/x
  3. Step 3: Cross multiply
    69,011.50x = 140,558 × 140,558
  4. Step 4: Simplify right side
    69,011.50x = 19,756,551,364
  5. Step 5: Solve for x
    x = 19,756,551,364/69,011.50
  6. Step 6: Final answer
    x = 286,279.12

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.