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Finding the Third Proportional to 121,135.50 and 169,747.50

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Solution

The third proportional to 121,135.50 and 169,747.50 is: 237,867.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,135.50 : 169,747.50 = 169,747.50 : x
  2. Step 2: Convert to fraction form
    121,135.50/169,747.50 = 169,747.50/x
  3. Step 3: Cross multiply
    121,135.50x = 169,747.50 × 169,747.50
  4. Step 4: Simplify right side
    121,135.50x = 28,814,213,756.25
  5. Step 5: Solve for x
    x = 28,814,213,756.25/121,135.50
  6. Step 6: Final answer
    x = 237,867.63

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.