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Finding the Third Proportional to 44,082 and 93,186

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Solution

The third proportional to 44,082 and 93,186 is: 196,988.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,082 : 93,186 = 93,186 : x
  2. Step 2: Convert to fraction form
    44,082/93,186 = 93,186/x
  3. Step 3: Cross multiply
    44,082x = 93,186 × 93,186
  4. Step 4: Simplify right side
    44,082x = 8,683,630,596
  5. Step 5: Solve for x
    x = 8,683,630,596/44,082
  6. Step 6: Final answer
    x = 196,988.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.