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Finding the Third Proportional to 35,502 and 77,268

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Solution

The third proportional to 35,502 and 77,268 is: 168,169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,502 : 77,268 = 77,268 : x
  2. Step 2: Convert to fraction form
    35,502/77,268 = 77,268/x
  3. Step 3: Cross multiply
    35,502x = 77,268 × 77,268
  4. Step 4: Simplify right side
    35,502x = 5,970,343,824
  5. Step 5: Solve for x
    x = 5,970,343,824/35,502
  6. Step 6: Final answer
    x = 168,169.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.