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Finding the Third Proportional to 110,506 and 166,678

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Solution

The third proportional to 110,506 and 166,678 is: 251,403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,506 : 166,678 = 166,678 : x
  2. Step 2: Convert to fraction form
    110,506/166,678 = 166,678/x
  3. Step 3: Cross multiply
    110,506x = 166,678 × 166,678
  4. Step 4: Simplify right side
    110,506x = 27,781,555,684
  5. Step 5: Solve for x
    x = 27,781,555,684/110,506
  6. Step 6: Final answer
    x = 251,403.14

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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.