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Finding the Third Proportional to 100,480 and 151,008

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Solution

The third proportional to 100,480 and 151,008 is: 226,944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,480 : 151,008 = 151,008 : x
  2. Step 2: Convert to fraction form
    100,480/151,008 = 151,008/x
  3. Step 3: Cross multiply
    100,480x = 151,008 × 151,008
  4. Step 4: Simplify right side
    100,480x = 22,803,416,064
  5. Step 5: Solve for x
    x = 22,803,416,064/100,480
  6. Step 6: Final answer
    x = 226,944.83

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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.