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Finding the Third Proportional to 55,653.50 and 123,311

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Solution

The third proportional to 55,653.50 and 123,311 is: 273,219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,653.50 : 123,311 = 123,311 : x
  2. Step 2: Convert to fraction form
    55,653.50/123,311 = 123,311/x
  3. Step 3: Cross multiply
    55,653.50x = 123,311 × 123,311
  4. Step 4: Simplify right side
    55,653.50x = 15,205,602,721
  5. Step 5: Solve for x
    x = 15,205,602,721/55,653.50
  6. Step 6: Final answer
    x = 273,219.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.