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Finding the Third Proportional to 35,354 and 75,768

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Solution

The third proportional to 35,354 and 75,768 is: 162,380.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,354 : 75,768 = 75,768 : x
  2. Step 2: Convert to fraction form
    35,354/75,768 = 75,768/x
  3. Step 3: Cross multiply
    35,354x = 75,768 × 75,768
  4. Step 4: Simplify right side
    35,354x = 5,740,789,824
  5. Step 5: Solve for x
    x = 5,740,789,824/35,354
  6. Step 6: Final answer
    x = 162,380.21

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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.