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Finding the Third Proportional to 124,837.88 and 273,026.53

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Solution

The third proportional to 124,837.88 and 273,026.53 is: 597,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,837.88 : 273,026.53 = 273,026.53 : x
  2. Step 2: Convert to fraction form
    124,837.88/273,026.53 = 273,026.53/x
  3. Step 3: Cross multiply
    124,837.88x = 273,026.53 × 273,026.53
  4. Step 4: Simplify right side
    124,837.88x = 74,543,486,766.41
  5. Step 5: Solve for x
    x = 74,543,486,766.41/124,837.88
  6. Step 6: Final answer
    x = 597,122.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.