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Finding the Third Proportional to 46,222 and 73,472

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Solution

The third proportional to 46,222 and 73,472 is: 116,787.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,222 : 73,472 = 73,472 : x
  2. Step 2: Convert to fraction form
    46,222/73,472 = 73,472/x
  3. Step 3: Cross multiply
    46,222x = 73,472 × 73,472
  4. Step 4: Simplify right side
    46,222x = 5,398,134,784
  5. Step 5: Solve for x
    x = 5,398,134,784/46,222
  6. Step 6: Final answer
    x = 116,787.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.