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Finding the Third Proportional to 71,145 and 106,906.50

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Solution

The third proportional to 71,145 and 106,906.50 is: 160,643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,145 : 106,906.50 = 106,906.50 : x
  2. Step 2: Convert to fraction form
    71,145/106,906.50 = 106,906.50/x
  3. Step 3: Cross multiply
    71,145x = 106,906.50 × 106,906.50
  4. Step 4: Simplify right side
    71,145x = 11,428,999,742.25
  5. Step 5: Solve for x
    x = 11,428,999,742.25/71,145
  6. Step 6: Final answer
    x = 160,643.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.