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Finding the Third Proportional to 53,525 and 83,351

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Solution

The third proportional to 53,525 and 83,351 is: 129,797.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,525 : 83,351 = 83,351 : x
  2. Step 2: Convert to fraction form
    53,525/83,351 = 83,351/x
  3. Step 3: Cross multiply
    53,525x = 83,351 × 83,351
  4. Step 4: Simplify right side
    53,525x = 6,947,389,201
  5. Step 5: Solve for x
    x = 6,947,389,201/53,525
  6. Step 6: Final answer
    x = 129,797.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.