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Finding the Third Proportional to 68,102 and 105,025

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Solution

The third proportional to 68,102 and 105,025 is: 161,966.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,102 : 105,025 = 105,025 : x
  2. Step 2: Convert to fraction form
    68,102/105,025 = 105,025/x
  3. Step 3: Cross multiply
    68,102x = 105,025 × 105,025
  4. Step 4: Simplify right side
    68,102x = 11,030,250,625
  5. Step 5: Solve for x
    x = 11,030,250,625/68,102
  6. Step 6: Final answer
    x = 161,966.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.