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Finding the Third Proportional to 55,366.50 and 85,963.50

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Solution

The third proportional to 55,366.50 and 85,963.50 is: 133,469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,366.50 : 85,963.50 = 85,963.50 : x
  2. Step 2: Convert to fraction form
    55,366.50/85,963.50 = 85,963.50/x
  3. Step 3: Cross multiply
    55,366.50x = 85,963.50 × 85,963.50
  4. Step 4: Simplify right side
    55,366.50x = 7,389,723,332.25
  5. Step 5: Solve for x
    x = 7,389,723,332.25/55,366.50
  6. Step 6: Final answer
    x = 133,469.22

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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.