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Finding the Third Proportional to 110,646 and 166,050

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Solution

The third proportional to 110,646 and 166,050 is: 249,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,646 : 166,050 = 166,050 : x
  2. Step 2: Convert to fraction form
    110,646/166,050 = 166,050/x
  3. Step 3: Cross multiply
    110,646x = 166,050 × 166,050
  4. Step 4: Simplify right side
    110,646x = 27,572,602,500
  5. Step 5: Solve for x
    x = 27,572,602,500/110,646
  6. Step 6: Final answer
    x = 249,196.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.