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Finding the Third Proportional to 68,625 and 109,588.50

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Solution

The third proportional to 68,625 and 109,588.50 is: 175,003.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,625 : 109,588.50 = 109,588.50 : x
  2. Step 2: Convert to fraction form
    68,625/109,588.50 = 109,588.50/x
  3. Step 3: Cross multiply
    68,625x = 109,588.50 × 109,588.50
  4. Step 4: Simplify right side
    68,625x = 12,009,639,332.25
  5. Step 5: Solve for x
    x = 12,009,639,332.25/68,625
  6. Step 6: Final answer
    x = 175,003.85

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.