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Finding the Third Proportional to 68,308 and 101,472

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Solution

The third proportional to 68,308 and 101,472 is: 150,737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,308 : 101,472 = 101,472 : x
  2. Step 2: Convert to fraction form
    68,308/101,472 = 101,472/x
  3. Step 3: Cross multiply
    68,308x = 101,472 × 101,472
  4. Step 4: Simplify right side
    68,308x = 10,296,566,784
  5. Step 5: Solve for x
    x = 10,296,566,784/68,308
  6. Step 6: Final answer
    x = 150,737.35

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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.