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Finding the Third Proportional to 55,652.25 and 123,309

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Solution

The third proportional to 55,652.25 and 123,309 is: 273,216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,652.25 : 123,309 = 123,309 : x
  2. Step 2: Convert to fraction form
    55,652.25/123,309 = 123,309/x
  3. Step 3: Cross multiply
    55,652.25x = 123,309 × 123,309
  4. Step 4: Simplify right side
    55,652.25x = 15,205,109,481
  5. Step 5: Solve for x
    x = 15,205,109,481/55,652.25
  6. Step 6: Final answer
    x = 273,216.44

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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.