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Finding the Third Proportional to 35,314 and 75,544

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Solution

The third proportional to 35,314 and 75,544 is: 161,604.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,314 : 75,544 = 75,544 : x
  2. Step 2: Convert to fraction form
    35,314/75,544 = 75,544/x
  3. Step 3: Cross multiply
    35,314x = 75,544 × 75,544
  4. Step 4: Simplify right side
    35,314x = 5,706,895,936
  5. Step 5: Solve for x
    x = 5,706,895,936/35,314
  6. Step 6: Final answer
    x = 161,604.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.