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Finding the Third Proportional to 65,754 and 93,040

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Solution

The third proportional to 65,754 and 93,040 is: 131,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,754 : 93,040 = 93,040 : x
  2. Step 2: Convert to fraction form
    65,754/93,040 = 93,040/x
  3. Step 3: Cross multiply
    65,754x = 93,040 × 93,040
  4. Step 4: Simplify right side
    65,754x = 8,656,441,600
  5. Step 5: Solve for x
    x = 8,656,441,600/65,754
  6. Step 6: Final answer
    x = 131,648.90

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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.