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Finding the Third Proportional to 113,038 and 166,091

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Solution

The third proportional to 113,038 and 166,091 is: 244,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,038 : 166,091 = 166,091 : x
  2. Step 2: Convert to fraction form
    113,038/166,091 = 166,091/x
  3. Step 3: Cross multiply
    113,038x = 166,091 × 166,091
  4. Step 4: Simplify right side
    113,038x = 27,586,220,281
  5. Step 5: Solve for x
    x = 27,586,220,281/113,038
  6. Step 6: Final answer
    x = 244,043.78

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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.