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Finding the Third Proportional to 68,316 and 101,478

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Solution

The third proportional to 68,316 and 101,478 is: 150,737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,316 : 101,478 = 101,478 : x
  2. Step 2: Convert to fraction form
    68,316/101,478 = 101,478/x
  3. Step 3: Cross multiply
    68,316x = 101,478 × 101,478
  4. Step 4: Simplify right side
    68,316x = 10,297,784,484
  5. Step 5: Solve for x
    x = 10,297,784,484/68,316
  6. Step 6: Final answer
    x = 150,737.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.