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Finding the Third Proportional to 55,485 and 85,816.97

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Solution

The third proportional to 55,485 and 85,816.97 is: 132,730.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,485 : 85,816.97 = 85,816.97 : x
  2. Step 2: Convert to fraction form
    55,485/85,816.97 = 85,816.97/x
  3. Step 3: Cross multiply
    55,485x = 85,816.97 × 85,816.97
  4. Step 4: Simplify right side
    55,485x = 7,364,552,125.44
  5. Step 5: Solve for x
    x = 7,364,552,125.44/55,485
  6. Step 6: Final answer
    x = 132,730.51

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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.