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Finding the Third Proportional to 42,068 and 89,330

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Solution

The third proportional to 42,068 and 89,330 is: 189,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,068 : 89,330 = 89,330 : x
  2. Step 2: Convert to fraction form
    42,068/89,330 = 89,330/x
  3. Step 3: Cross multiply
    42,068x = 89,330 × 89,330
  4. Step 4: Simplify right side
    42,068x = 7,979,848,900
  5. Step 5: Solve for x
    x = 7,979,848,900/42,068
  6. Step 6: Final answer
    x = 189,689.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.