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Finding the Third Proportional to 68,097 and 112,540.50

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Solution

The third proportional to 68,097 and 112,540.50 is: 185,990.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,097 : 112,540.50 = 112,540.50 : x
  2. Step 2: Convert to fraction form
    68,097/112,540.50 = 112,540.50/x
  3. Step 3: Cross multiply
    68,097x = 112,540.50 × 112,540.50
  4. Step 4: Simplify right side
    68,097x = 12,665,364,140.25
  5. Step 5: Solve for x
    x = 12,665,364,140.25/68,097
  6. Step 6: Final answer
    x = 185,990.05

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.