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Finding the Third Proportional to 128,067.50 and 205,770

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Solution

The third proportional to 128,067.50 and 205,770 is: 330,617.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,067.50 : 205,770 = 205,770 : x
  2. Step 2: Convert to fraction form
    128,067.50/205,770 = 205,770/x
  3. Step 3: Cross multiply
    128,067.50x = 205,770 × 205,770
  4. Step 4: Simplify right side
    128,067.50x = 42,341,292,900
  5. Step 5: Solve for x
    x = 42,341,292,900/128,067.50
  6. Step 6: Final answer
    x = 330,617.00

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.