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Finding the Third Proportional to 65,388 and 92,082

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Solution

The third proportional to 65,388 and 92,082 is: 129,673.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,388 : 92,082 = 92,082 : x
  2. Step 2: Convert to fraction form
    65,388/92,082 = 92,082/x
  3. Step 3: Cross multiply
    65,388x = 92,082 × 92,082
  4. Step 4: Simplify right side
    65,388x = 8,479,094,724
  5. Step 5: Solve for x
    x = 8,479,094,724/65,388
  6. Step 6: Final answer
    x = 129,673.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.