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Finding the Third Proportional to 76,493 and 103,062

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Solution

The third proportional to 76,493 and 103,062 is: 138,859.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,493 : 103,062 = 103,062 : x
  2. Step 2: Convert to fraction form
    76,493/103,062 = 103,062/x
  3. Step 3: Cross multiply
    76,493x = 103,062 × 103,062
  4. Step 4: Simplify right side
    76,493x = 10,621,775,844
  5. Step 5: Solve for x
    x = 10,621,775,844/76,493
  6. Step 6: Final answer
    x = 138,859.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.