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Finding the Third Proportional to 43,681 and 93,082

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Solution

The third proportional to 43,681 and 93,082 is: 198,353.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,681 : 93,082 = 93,082 : x
  2. Step 2: Convert to fraction form
    43,681/93,082 = 93,082/x
  3. Step 3: Cross multiply
    43,681x = 93,082 × 93,082
  4. Step 4: Simplify right side
    43,681x = 8,664,258,724
  5. Step 5: Solve for x
    x = 8,664,258,724/43,681
  6. Step 6: Final answer
    x = 198,353.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.