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Finding the Third Proportional to 66,896 and 89,179

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Solution

The third proportional to 66,896 and 89,179 is: 118,884.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,896 : 89,179 = 89,179 : x
  2. Step 2: Convert to fraction form
    66,896/89,179 = 89,179/x
  3. Step 3: Cross multiply
    66,896x = 89,179 × 89,179
  4. Step 4: Simplify right side
    66,896x = 7,952,894,041
  5. Step 5: Solve for x
    x = 7,952,894,041/66,896
  6. Step 6: Final answer
    x = 118,884.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.