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Finding the Third Proportional to 103,034 and 217,136

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Solution

The third proportional to 103,034 and 217,136 is: 457,596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,034 : 217,136 = 217,136 : x
  2. Step 2: Convert to fraction form
    103,034/217,136 = 217,136/x
  3. Step 3: Cross multiply
    103,034x = 217,136 × 217,136
  4. Step 4: Simplify right side
    103,034x = 47,148,042,496
  5. Step 5: Solve for x
    x = 47,148,042,496/103,034
  6. Step 6: Final answer
    x = 457,596.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.