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Finding the Third Proportional to 126,656 and 170,004

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Solution

The third proportional to 126,656 and 170,004 is: 228,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,656 : 170,004 = 170,004 : x
  2. Step 2: Convert to fraction form
    126,656/170,004 = 170,004/x
  3. Step 3: Cross multiply
    126,656x = 170,004 × 170,004
  4. Step 4: Simplify right side
    126,656x = 28,901,360,016
  5. Step 5: Solve for x
    x = 28,901,360,016/126,656
  6. Step 6: Final answer
    x = 228,187.85

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.