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Finding the Third Proportional to 80,317.50 and 112,822.50

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Solution

The third proportional to 80,317.50 and 112,822.50 is: 158,482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,317.50 : 112,822.50 = 112,822.50 : x
  2. Step 2: Convert to fraction form
    80,317.50/112,822.50 = 112,822.50/x
  3. Step 3: Cross multiply
    80,317.50x = 112,822.50 × 112,822.50
  4. Step 4: Simplify right side
    80,317.50x = 12,728,916,506.25
  5. Step 5: Solve for x
    x = 12,728,916,506.25/80,317.50
  6. Step 6: Final answer
    x = 158,482.48

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.