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Finding the Third Proportional to 110,076 and 165,362

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Solution

The third proportional to 110,076 and 165,362 is: 248,415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,076 : 165,362 = 165,362 : x
  2. Step 2: Convert to fraction form
    110,076/165,362 = 165,362/x
  3. Step 3: Cross multiply
    110,076x = 165,362 × 165,362
  4. Step 4: Simplify right side
    110,076x = 27,344,591,044
  5. Step 5: Solve for x
    x = 27,344,591,044/110,076
  6. Step 6: Final answer
    x = 248,415.56

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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.