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Finding the Third Proportional to 113,028 and 166,078

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Solution

The third proportional to 113,028 and 166,078 is: 244,027.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,028 : 166,078 = 166,078 : x
  2. Step 2: Convert to fraction form
    113,028/166,078 = 166,078/x
  3. Step 3: Cross multiply
    113,028x = 166,078 × 166,078
  4. Step 4: Simplify right side
    113,028x = 27,581,902,084
  5. Step 5: Solve for x
    x = 27,581,902,084/113,028
  6. Step 6: Final answer
    x = 244,027.16

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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.