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Finding the Third Proportional to 103,668 and 149,841

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Solution

The third proportional to 103,668 and 149,841 is: 216,579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,668 : 149,841 = 149,841 : x
  2. Step 2: Convert to fraction form
    103,668/149,841 = 149,841/x
  3. Step 3: Cross multiply
    103,668x = 149,841 × 149,841
  4. Step 4: Simplify right side
    103,668x = 22,452,325,281
  5. Step 5: Solve for x
    x = 22,452,325,281/103,668
  6. Step 6: Final answer
    x = 216,579.13

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.