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Finding the Third Proportional to 134,606 and 207,525

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Solution

The third proportional to 134,606 and 207,525 is: 319,945.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,606 : 207,525 = 207,525 : x
  2. Step 2: Convert to fraction form
    134,606/207,525 = 207,525/x
  3. Step 3: Cross multiply
    134,606x = 207,525 × 207,525
  4. Step 4: Simplify right side
    134,606x = 43,066,625,625
  5. Step 5: Solve for x
    x = 43,066,625,625/134,606
  6. Step 6: Final answer
    x = 319,945.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.