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Finding the Third Proportional to 35,272 and 77,102

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Solution

The third proportional to 35,272 and 77,102 is: 168,539.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,272 : 77,102 = 77,102 : x
  2. Step 2: Convert to fraction form
    35,272/77,102 = 77,102/x
  3. Step 3: Cross multiply
    35,272x = 77,102 × 77,102
  4. Step 4: Simplify right side
    35,272x = 5,944,718,404
  5. Step 5: Solve for x
    x = 5,944,718,404/35,272
  6. Step 6: Final answer
    x = 168,539.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.