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Finding the Third Proportional to 50,527.13 and 77,329.69

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Solution

The third proportional to 50,527.13 and 77,329.69 is: 118,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,527.13 : 77,329.69 = 77,329.69 : x
  2. Step 2: Convert to fraction form
    50,527.13/77,329.69 = 77,329.69/x
  3. Step 3: Cross multiply
    50,527.13x = 77,329.69 × 77,329.69
  4. Step 4: Simplify right side
    50,527.13x = 5,979,880,568.85
  5. Step 5: Solve for x
    x = 5,979,880,568.85/50,527.13
  6. Step 6: Final answer
    x = 118,349.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.