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Finding the Third Proportional to 110,708.50 and 170,973

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Solution

The third proportional to 110,708.50 and 170,973 is: 264,042.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,708.50 : 170,973 = 170,973 : x
  2. Step 2: Convert to fraction form
    110,708.50/170,973 = 170,973/x
  3. Step 3: Cross multiply
    110,708.50x = 170,973 × 170,973
  4. Step 4: Simplify right side
    110,708.50x = 29,231,766,729
  5. Step 5: Solve for x
    x = 29,231,766,729/110,708.50
  6. Step 6: Final answer
    x = 264,042.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.