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Finding the Third Proportional to 68,473 and 102,250

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Solution

The third proportional to 68,473 and 102,250 is: 152,688.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,473 : 102,250 = 102,250 : x
  2. Step 2: Convert to fraction form
    68,473/102,250 = 102,250/x
  3. Step 3: Cross multiply
    68,473x = 102,250 × 102,250
  4. Step 4: Simplify right side
    68,473x = 10,455,062,500
  5. Step 5: Solve for x
    x = 10,455,062,500/68,473
  6. Step 6: Final answer
    x = 152,688.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.