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Finding the Third Proportional to 53,440.50 and 84,617.25

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Solution

The third proportional to 53,440.50 and 84,617.25 is: 133,982.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,440.50 : 84,617.25 = 84,617.25 : x
  2. Step 2: Convert to fraction form
    53,440.50/84,617.25 = 84,617.25/x
  3. Step 3: Cross multiply
    53,440.50x = 84,617.25 × 84,617.25
  4. Step 4: Simplify right side
    53,440.50x = 7,160,078,997.56
  5. Step 5: Solve for x
    x = 7,160,078,997.56/53,440.50
  6. Step 6: Final answer
    x = 133,982.26

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.