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Finding the Third Proportional to 40,252.50 and 85,702.50

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Solution

The third proportional to 40,252.50 and 85,702.50 is: 182,471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,252.50 : 85,702.50 = 85,702.50 : x
  2. Step 2: Convert to fraction form
    40,252.50/85,702.50 = 85,702.50/x
  3. Step 3: Cross multiply
    40,252.50x = 85,702.50 × 85,702.50
  4. Step 4: Simplify right side
    40,252.50x = 7,344,918,506.25
  5. Step 5: Solve for x
    x = 7,344,918,506.25/40,252.50
  6. Step 6: Final answer
    x = 182,471.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.