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Finding the Third Proportional to 68,982.50 and 92,702.50

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Solution

The third proportional to 68,982.50 and 92,702.50 is: 124,578.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,982.50 : 92,702.50 = 92,702.50 : x
  2. Step 2: Convert to fraction form
    68,982.50/92,702.50 = 92,702.50/x
  3. Step 3: Cross multiply
    68,982.50x = 92,702.50 × 92,702.50
  4. Step 4: Simplify right side
    68,982.50x = 8,593,753,506.25
  5. Step 5: Solve for x
    x = 8,593,753,506.25/68,982.50
  6. Step 6: Final answer
    x = 124,578.75

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.