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Finding the Third Proportional to 121,981.50 and 190,350

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Solution

The third proportional to 121,981.50 and 190,350 is: 297,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,981.50 : 190,350 = 190,350 : x
  2. Step 2: Convert to fraction form
    121,981.50/190,350 = 190,350/x
  3. Step 3: Cross multiply
    121,981.50x = 190,350 × 190,350
  4. Step 4: Simplify right side
    121,981.50x = 36,233,122,500
  5. Step 5: Solve for x
    x = 36,233,122,500/121,981.50
  6. Step 6: Final answer
    x = 297,037.85

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.