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Finding the Third Proportional to 62,291 and 96,029

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Solution

The third proportional to 62,291 and 96,029 is: 148,040.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,291 : 96,029 = 96,029 : x
  2. Step 2: Convert to fraction form
    62,291/96,029 = 96,029/x
  3. Step 3: Cross multiply
    62,291x = 96,029 × 96,029
  4. Step 4: Simplify right side
    62,291x = 9,221,568,841
  5. Step 5: Solve for x
    x = 9,221,568,841/62,291
  6. Step 6: Final answer
    x = 148,040.15

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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.