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Finding the Third Proportional to 51,637.50 and 83,136.38

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Solution

The third proportional to 51,637.50 and 83,136.38 is: 133,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,637.50 : 83,136.38 = 83,136.38 : x
  2. Step 2: Convert to fraction form
    51,637.50/83,136.38 = 83,136.38/x
  3. Step 3: Cross multiply
    51,637.50x = 83,136.38 × 83,136.38
  4. Step 4: Simplify right side
    51,637.50x = 6,911,656,848.14
  5. Step 5: Solve for x
    x = 6,911,656,848.14/51,637.50
  6. Step 6: Final answer
    x = 133,849.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.