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Finding the Third Proportional to 65,754 and 93,040.50

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Solution

The third proportional to 65,754 and 93,040.50 is: 131,650.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,754 : 93,040.50 = 93,040.50 : x
  2. Step 2: Convert to fraction form
    65,754/93,040.50 = 93,040.50/x
  3. Step 3: Cross multiply
    65,754x = 93,040.50 × 93,040.50
  4. Step 4: Simplify right side
    65,754x = 8,656,534,640.25
  5. Step 5: Solve for x
    x = 8,656,534,640.25/65,754
  6. Step 6: Final answer
    x = 131,650.31

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.