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Finding the Third Proportional to 50,154.50 and 77,910.50

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Solution

The third proportional to 50,154.50 and 77,910.50 is: 121,026.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,154.50 : 77,910.50 = 77,910.50 : x
  2. Step 2: Convert to fraction form
    50,154.50/77,910.50 = 77,910.50/x
  3. Step 3: Cross multiply
    50,154.50x = 77,910.50 × 77,910.50
  4. Step 4: Simplify right side
    50,154.50x = 6,070,046,010.25
  5. Step 5: Solve for x
    x = 6,070,046,010.25/50,154.50
  6. Step 6: Final answer
    x = 121,026.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.