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Finding the Third Proportional to 56,409.75 and 83,999.25

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Solution

The third proportional to 56,409.75 and 83,999.25 is: 125,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,409.75 : 83,999.25 = 83,999.25 : x
  2. Step 2: Convert to fraction form
    56,409.75/83,999.25 = 83,999.25/x
  3. Step 3: Cross multiply
    56,409.75x = 83,999.25 × 83,999.25
  4. Step 4: Simplify right side
    56,409.75x = 7,055,874,000.56
  5. Step 5: Solve for x
    x = 7,055,874,000.56/56,409.75
  6. Step 6: Final answer
    x = 125,082.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.