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Finding the Third Proportional to 67,594.50 and 97,906.50

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Solution

The third proportional to 67,594.50 and 97,906.50 is: 141,811.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,594.50 : 97,906.50 = 97,906.50 : x
  2. Step 2: Convert to fraction form
    67,594.50/97,906.50 = 97,906.50/x
  3. Step 3: Cross multiply
    67,594.50x = 97,906.50 × 97,906.50
  4. Step 4: Simplify right side
    67,594.50x = 9,585,682,742.25
  5. Step 5: Solve for x
    x = 9,585,682,742.25/67,594.50
  6. Step 6: Final answer
    x = 141,811.58

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.