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Finding the Third Proportional to 68,433 and 102,373

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Solution

The third proportional to 68,433 and 102,373 is: 153,145.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,433 : 102,373 = 102,373 : x
  2. Step 2: Convert to fraction form
    68,433/102,373 = 102,373/x
  3. Step 3: Cross multiply
    68,433x = 102,373 × 102,373
  4. Step 4: Simplify right side
    68,433x = 10,480,231,129
  5. Step 5: Solve for x
    x = 10,480,231,129/68,433
  6. Step 6: Final answer
    x = 153,145.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.