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Finding the Third Proportional to 31,143.75 and 73,114.50

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Solution

The third proportional to 31,143.75 and 73,114.50 is: 171,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,143.75 : 73,114.50 = 73,114.50 : x
  2. Step 2: Convert to fraction form
    31,143.75/73,114.50 = 73,114.50/x
  3. Step 3: Cross multiply
    31,143.75x = 73,114.50 × 73,114.50
  4. Step 4: Simplify right side
    31,143.75x = 5,345,730,110.25
  5. Step 5: Solve for x
    x = 5,345,730,110.25/31,143.75
  6. Step 6: Final answer
    x = 171,646.96

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.