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Finding the Third Proportional to 73,448 and 151,243

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Solution

The third proportional to 73,448 and 151,243 is: 311,437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,448 : 151,243 = 151,243 : x
  2. Step 2: Convert to fraction form
    73,448/151,243 = 151,243/x
  3. Step 3: Cross multiply
    73,448x = 151,243 × 151,243
  4. Step 4: Simplify right side
    73,448x = 22,874,445,049
  5. Step 5: Solve for x
    x = 22,874,445,049/73,448
  6. Step 6: Final answer
    x = 311,437.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.