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Finding the Third Proportional to 47,564 and 73,136

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Solution

The third proportional to 47,564 and 73,136 is: 112,456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,564 : 73,136 = 73,136 : x
  2. Step 2: Convert to fraction form
    47,564/73,136 = 73,136/x
  3. Step 3: Cross multiply
    47,564x = 73,136 × 73,136
  4. Step 4: Simplify right side
    47,564x = 5,348,874,496
  5. Step 5: Solve for x
    x = 5,348,874,496/47,564
  6. Step 6: Final answer
    x = 112,456.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.