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Finding the Third Proportional to 68,414 and 103,527

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Solution

The third proportional to 68,414 and 103,527 is: 156,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,414 : 103,527 = 103,527 : x
  2. Step 2: Convert to fraction form
    68,414/103,527 = 103,527/x
  3. Step 3: Cross multiply
    68,414x = 103,527 × 103,527
  4. Step 4: Simplify right side
    68,414x = 10,717,839,729
  5. Step 5: Solve for x
    x = 10,717,839,729/68,414
  6. Step 6: Final answer
    x = 156,661.50

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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.