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Finding the Third Proportional to 35,354 and 74,108

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Solution

The third proportional to 35,354 and 74,108 is: 155,342.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,354 : 74,108 = 74,108 : x
  2. Step 2: Convert to fraction form
    35,354/74,108 = 74,108/x
  3. Step 3: Cross multiply
    35,354x = 74,108 × 74,108
  4. Step 4: Simplify right side
    35,354x = 5,491,995,664
  5. Step 5: Solve for x
    x = 5,491,995,664/35,354
  6. Step 6: Final answer
    x = 155,342.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.