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Finding the Third Proportional to 65,839 and 94,083.50

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Solution

The third proportional to 65,839 and 94,083.50 is: 134,444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,839 : 94,083.50 = 94,083.50 : x
  2. Step 2: Convert to fraction form
    65,839/94,083.50 = 94,083.50/x
  3. Step 3: Cross multiply
    65,839x = 94,083.50 × 94,083.50
  4. Step 4: Simplify right side
    65,839x = 8,851,704,972.25
  5. Step 5: Solve for x
    x = 8,851,704,972.25/65,839
  6. Step 6: Final answer
    x = 134,444.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.