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Finding the Third Proportional to 110,572 and 166,656

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Solution

The third proportional to 110,572 and 166,656 is: 251,186.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,572 : 166,656 = 166,656 : x
  2. Step 2: Convert to fraction form
    110,572/166,656 = 166,656/x
  3. Step 3: Cross multiply
    110,572x = 166,656 × 166,656
  4. Step 4: Simplify right side
    110,572x = 27,774,222,336
  5. Step 5: Solve for x
    x = 27,774,222,336/110,572
  6. Step 6: Final answer
    x = 251,186.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.