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Finding the Third Proportional to 99,165 and 151,072

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Solution

The third proportional to 99,165 and 151,072 is: 230,149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,165 : 151,072 = 151,072 : x
  2. Step 2: Convert to fraction form
    99,165/151,072 = 151,072/x
  3. Step 3: Cross multiply
    99,165x = 151,072 × 151,072
  4. Step 4: Simplify right side
    99,165x = 22,822,749,184
  5. Step 5: Solve for x
    x = 22,822,749,184/99,165
  6. Step 6: Final answer
    x = 230,149.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.