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Finding the Third Proportional to 62,068 and 93,082

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Solution

The third proportional to 62,068 and 93,082 is: 139,593.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,068 : 93,082 = 93,082 : x
  2. Step 2: Convert to fraction form
    62,068/93,082 = 93,082/x
  3. Step 3: Cross multiply
    62,068x = 93,082 × 93,082
  4. Step 4: Simplify right side
    62,068x = 8,664,258,724
  5. Step 5: Solve for x
    x = 8,664,258,724/62,068
  6. Step 6: Final answer
    x = 139,593.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.