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Finding the Third Proportional to 113,739.19 and 166,915.69

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Solution

The third proportional to 113,739.19 and 166,915.69 is: 244,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,739.19 : 166,915.69 = 166,915.69 : x
  2. Step 2: Convert to fraction form
    113,739.19/166,915.69 = 166,915.69/x
  3. Step 3: Cross multiply
    113,739.19x = 166,915.69 × 166,915.69
  4. Step 4: Simplify right side
    113,739.19x = 27,860,846,733.60
  5. Step 5: Solve for x
    x = 27,860,846,733.60/113,739.19
  6. Step 6: Final answer
    x = 244,953.80

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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.