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Finding the Third Proportional to 61,232.84 and 92,772.21

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Solution

The third proportional to 61,232.84 and 92,772.21 is: 140,556.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,232.84 : 92,772.21 = 92,772.21 : x
  2. Step 2: Convert to fraction form
    61,232.84/92,772.21 = 92,772.21/x
  3. Step 3: Cross multiply
    61,232.84x = 92,772.21 × 92,772.21
  4. Step 4: Simplify right side
    61,232.84x = 8,606,683,122.23
  5. Step 5: Solve for x
    x = 8,606,683,122.23/61,232.84
  6. Step 6: Final answer
    x = 140,556.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.