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Finding the Third Proportional to 96,017 and 149,462

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Solution

The third proportional to 96,017 and 149,462 is: 232,655.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,017 : 149,462 = 149,462 : x
  2. Step 2: Convert to fraction form
    96,017/149,462 = 149,462/x
  3. Step 3: Cross multiply
    96,017x = 149,462 × 149,462
  4. Step 4: Simplify right side
    96,017x = 22,338,889,444
  5. Step 5: Solve for x
    x = 22,338,889,444/96,017
  6. Step 6: Final answer
    x = 232,655.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.