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Finding the Third Proportional to 54,236 and 99,472

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Solution

The third proportional to 54,236 and 99,472 is: 182,437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,236 : 99,472 = 99,472 : x
  2. Step 2: Convert to fraction form
    54,236/99,472 = 99,472/x
  3. Step 3: Cross multiply
    54,236x = 99,472 × 99,472
  4. Step 4: Simplify right side
    54,236x = 9,894,678,784
  5. Step 5: Solve for x
    x = 9,894,678,784/54,236
  6. Step 6: Final answer
    x = 182,437.47

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.