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Finding the Third Proportional to 72,904 and 151,625

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Solution

The third proportional to 72,904 and 151,625 is: 315,348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,904 : 151,625 = 151,625 : x
  2. Step 2: Convert to fraction form
    72,904/151,625 = 151,625/x
  3. Step 3: Cross multiply
    72,904x = 151,625 × 151,625
  4. Step 4: Simplify right side
    72,904x = 22,990,140,625
  5. Step 5: Solve for x
    x = 22,990,140,625/72,904
  6. Step 6: Final answer
    x = 315,348.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.