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Finding the Third Proportional to 46,747 and 100,136

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Solution

The third proportional to 46,747 and 100,136 is: 214,499.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,747 : 100,136 = 100,136 : x
  2. Step 2: Convert to fraction form
    46,747/100,136 = 100,136/x
  3. Step 3: Cross multiply
    46,747x = 100,136 × 100,136
  4. Step 4: Simplify right side
    46,747x = 10,027,218,496
  5. Step 5: Solve for x
    x = 10,027,218,496/46,747
  6. Step 6: Final answer
    x = 214,499.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.