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Finding the Third Proportional to 100,272 and 149,904

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Solution

The third proportional to 100,272 and 149,904 is: 224,102.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,272 : 149,904 = 149,904 : x
  2. Step 2: Convert to fraction form
    100,272/149,904 = 149,904/x
  3. Step 3: Cross multiply
    100,272x = 149,904 × 149,904
  4. Step 4: Simplify right side
    100,272x = 22,471,209,216
  5. Step 5: Solve for x
    x = 22,471,209,216/100,272
  6. Step 6: Final answer
    x = 224,102.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.