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Finding the Third Proportional to 66,114 and 89,934

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Solution

The third proportional to 66,114 and 89,934 is: 122,336.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,114 : 89,934 = 89,934 : x
  2. Step 2: Convert to fraction form
    66,114/89,934 = 89,934/x
  3. Step 3: Cross multiply
    66,114x = 89,934 × 89,934
  4. Step 4: Simplify right side
    66,114x = 8,088,124,356
  5. Step 5: Solve for x
    x = 8,088,124,356/66,114
  6. Step 6: Final answer
    x = 122,336.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.