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Finding the Third Proportional to 113,888 and 166,442

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Solution

The third proportional to 113,888 and 166,442 is: 243,247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,888 : 166,442 = 166,442 : x
  2. Step 2: Convert to fraction form
    113,888/166,442 = 166,442/x
  3. Step 3: Cross multiply
    113,888x = 166,442 × 166,442
  4. Step 4: Simplify right side
    113,888x = 27,702,939,364
  5. Step 5: Solve for x
    x = 27,702,939,364/113,888
  6. Step 6: Final answer
    x = 243,247.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.