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Finding the Third Proportional to 75,775.50 and 90,355.50

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Solution

The third proportional to 75,775.50 and 90,355.50 is: 107,740.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,775.50 : 90,355.50 = 90,355.50 : x
  2. Step 2: Convert to fraction form
    75,775.50/90,355.50 = 90,355.50/x
  3. Step 3: Cross multiply
    75,775.50x = 90,355.50 × 90,355.50
  4. Step 4: Simplify right side
    75,775.50x = 8,164,116,380.25
  5. Step 5: Solve for x
    x = 8,164,116,380.25/75,775.50
  6. Step 6: Final answer
    x = 107,740.84

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These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.