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Finding the Third Proportional to 68,295 and 103,364

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Solution

The third proportional to 68,295 and 103,364 is: 156,440.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,295 : 103,364 = 103,364 : x
  2. Step 2: Convert to fraction form
    68,295/103,364 = 103,364/x
  3. Step 3: Cross multiply
    68,295x = 103,364 × 103,364
  4. Step 4: Simplify right side
    68,295x = 10,684,116,496
  5. Step 5: Solve for x
    x = 10,684,116,496/68,295
  6. Step 6: Final answer
    x = 156,440.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.