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Finding the Third Proportional to 75,456 and 101,498

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Solution

The third proportional to 75,456 and 101,498 is: 136,527.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,456 : 101,498 = 101,498 : x
  2. Step 2: Convert to fraction form
    75,456/101,498 = 101,498/x
  3. Step 3: Cross multiply
    75,456x = 101,498 × 101,498
  4. Step 4: Simplify right side
    75,456x = 10,301,844,004
  5. Step 5: Solve for x
    x = 10,301,844,004/75,456
  6. Step 6: Final answer
    x = 136,527.83

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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.