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Finding the Third Proportional to 103,646.25 and 165,250.13

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Solution

The third proportional to 103,646.25 and 165,250.13 is: 263,469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,646.25 : 165,250.13 = 165,250.13 : x
  2. Step 2: Convert to fraction form
    103,646.25/165,250.13 = 165,250.13/x
  3. Step 3: Cross multiply
    103,646.25x = 165,250.13 × 165,250.13
  4. Step 4: Simplify right side
    103,646.25x = 27,307,603,812.52
  5. Step 5: Solve for x
    x = 27,307,603,812.52/103,646.25
  6. Step 6: Final answer
    x = 263,469.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.