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Finding the Third Proportional to 53,160.75 and 72,229.50

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Solution

The third proportional to 53,160.75 and 72,229.50 is: 98,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,160.75 : 72,229.50 = 72,229.50 : x
  2. Step 2: Convert to fraction form
    53,160.75/72,229.50 = 72,229.50/x
  3. Step 3: Cross multiply
    53,160.75x = 72,229.50 × 72,229.50
  4. Step 4: Simplify right side
    53,160.75x = 5,217,100,670.25
  5. Step 5: Solve for x
    x = 5,217,100,670.25/53,160.75
  6. Step 6: Final answer
    x = 98,138.21

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.