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Finding the Third Proportional to 40,896 and 85,527

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Solution

The third proportional to 40,896 and 85,527 is: 178,865.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,896 : 85,527 = 85,527 : x
  2. Step 2: Convert to fraction form
    40,896/85,527 = 85,527/x
  3. Step 3: Cross multiply
    40,896x = 85,527 × 85,527
  4. Step 4: Simplify right side
    40,896x = 7,314,867,729
  5. Step 5: Solve for x
    x = 7,314,867,729/40,896
  6. Step 6: Final answer
    x = 178,865.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.