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Finding the Third Proportional to 96,568 and 144,291

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Solution

The third proportional to 96,568 and 144,291 is: 215,598.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,568 : 144,291 = 144,291 : x
  2. Step 2: Convert to fraction form
    96,568/144,291 = 144,291/x
  3. Step 3: Cross multiply
    96,568x = 144,291 × 144,291
  4. Step 4: Simplify right side
    96,568x = 20,819,892,681
  5. Step 5: Solve for x
    x = 20,819,892,681/96,568
  6. Step 6: Final answer
    x = 215,598.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.