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Finding the Third Proportional to 67,084 and 93,774

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Solution

The third proportional to 67,084 and 93,774 is: 131,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,084 : 93,774 = 93,774 : x
  2. Step 2: Convert to fraction form
    67,084/93,774 = 93,774/x
  3. Step 3: Cross multiply
    67,084x = 93,774 × 93,774
  4. Step 4: Simplify right side
    67,084x = 8,793,563,076
  5. Step 5: Solve for x
    x = 8,793,563,076/67,084
  6. Step 6: Final answer
    x = 131,082.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.