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Finding the Third Proportional to 113,068 and 166,146

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Solution

The third proportional to 113,068 and 166,146 is: 244,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,068 : 166,146 = 166,146 : x
  2. Step 2: Convert to fraction form
    113,068/166,146 = 166,146/x
  3. Step 3: Cross multiply
    113,068x = 166,146 × 166,146
  4. Step 4: Simplify right side
    113,068x = 27,604,493,316
  5. Step 5: Solve for x
    x = 27,604,493,316/113,068
  6. Step 6: Final answer
    x = 244,140.63

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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.