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Finding the Third Proportional to 110,487 and 165,548.25

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Solution

The third proportional to 110,487 and 165,548.25 is: 248,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,487 : 165,548.25 = 165,548.25 : x
  2. Step 2: Convert to fraction form
    110,487/165,548.25 = 165,548.25/x
  3. Step 3: Cross multiply
    110,487x = 165,548.25 × 165,548.25
  4. Step 4: Simplify right side
    110,487x = 27,406,223,078.06
  5. Step 5: Solve for x
    x = 27,406,223,078.06/110,487
  6. Step 6: Final answer
    x = 248,049.30

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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.