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Finding the Third Proportional to 113,444 and 166,890

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Solution

The third proportional to 113,444 and 166,890 is: 245,515.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,444 : 166,890 = 166,890 : x
  2. Step 2: Convert to fraction form
    113,444/166,890 = 166,890/x
  3. Step 3: Cross multiply
    113,444x = 166,890 × 166,890
  4. Step 4: Simplify right side
    113,444x = 27,852,272,100
  5. Step 5: Solve for x
    x = 27,852,272,100/113,444
  6. Step 6: Final answer
    x = 245,515.60

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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.