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Finding the Third Proportional to 91,770 and 134,622

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Solution

The third proportional to 91,770 and 134,622 is: 197,483.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,770 : 134,622 = 134,622 : x
  2. Step 2: Convert to fraction form
    91,770/134,622 = 134,622/x
  3. Step 3: Cross multiply
    91,770x = 134,622 × 134,622
  4. Step 4: Simplify right side
    91,770x = 18,123,082,884
  5. Step 5: Solve for x
    x = 18,123,082,884/91,770
  6. Step 6: Final answer
    x = 197,483.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.