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Finding the Third Proportional to 64,422 and 97,524

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Solution

The third proportional to 64,422 and 97,524 is: 147,634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,422 : 97,524 = 97,524 : x
  2. Step 2: Convert to fraction form
    64,422/97,524 = 97,524/x
  3. Step 3: Cross multiply
    64,422x = 97,524 × 97,524
  4. Step 4: Simplify right side
    64,422x = 9,510,930,576
  5. Step 5: Solve for x
    x = 9,510,930,576/64,422
  6. Step 6: Final answer
    x = 147,634.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.