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Finding the Third Proportional to 110,332 and 165,462

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Solution

The third proportional to 110,332 and 165,462 is: 248,139.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,332 : 165,462 = 165,462 : x
  2. Step 2: Convert to fraction form
    110,332/165,462 = 165,462/x
  3. Step 3: Cross multiply
    110,332x = 165,462 × 165,462
  4. Step 4: Simplify right side
    110,332x = 27,377,673,444
  5. Step 5: Solve for x
    x = 27,377,673,444/110,332
  6. Step 6: Final answer
    x = 248,139.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.