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Finding the Third Proportional to 120,950.25 and 190,701.38

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Solution

The third proportional to 120,950.25 and 190,701.38 is: 300,677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,950.25 : 190,701.38 = 190,701.38 : x
  2. Step 2: Convert to fraction form
    120,950.25/190,701.38 = 190,701.38/x
  3. Step 3: Cross multiply
    120,950.25x = 190,701.38 × 190,701.38
  4. Step 4: Simplify right side
    120,950.25x = 36,367,014,426.89
  5. Step 5: Solve for x
    x = 36,367,014,426.89/120,950.25
  6. Step 6: Final answer
    x = 300,677.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.