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Finding the Third Proportional to 60,889 and 91,084

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Solution

The third proportional to 60,889 and 91,084 is: 136,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,889 : 91,084 = 91,084 : x
  2. Step 2: Convert to fraction form
    60,889/91,084 = 91,084/x
  3. Step 3: Cross multiply
    60,889x = 91,084 × 91,084
  4. Step 4: Simplify right side
    60,889x = 8,296,295,056
  5. Step 5: Solve for x
    x = 8,296,295,056/60,889
  6. Step 6: Final answer
    x = 136,252.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.