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Finding the Third Proportional to 114,136.38 and 177,421.38

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Solution

The third proportional to 114,136.38 and 177,421.38 is: 275,795.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,136.38 : 177,421.38 = 177,421.38 : x
  2. Step 2: Convert to fraction form
    114,136.38/177,421.38 = 177,421.38/x
  3. Step 3: Cross multiply
    114,136.38x = 177,421.38 × 177,421.38
  4. Step 4: Simplify right side
    114,136.38x = 31,478,344,306.89
  5. Step 5: Solve for x
    x = 31,478,344,306.89/114,136.38
  6. Step 6: Final answer
    x = 275,795.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.