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Finding the Third Proportional to 96,262 and 149,629

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Solution

The third proportional to 96,262 and 149,629 is: 232,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,262 : 149,629 = 149,629 : x
  2. Step 2: Convert to fraction form
    96,262/149,629 = 149,629/x
  3. Step 3: Cross multiply
    96,262x = 149,629 × 149,629
  4. Step 4: Simplify right side
    96,262x = 22,388,837,641
  5. Step 5: Solve for x
    x = 22,388,837,641/96,262
  6. Step 6: Final answer
    x = 232,582.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.