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Finding the Third Proportional to 124,826 and 273,006

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Solution

The third proportional to 124,826 and 273,006 is: 597,089.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,826 : 273,006 = 273,006 : x
  2. Step 2: Convert to fraction form
    124,826/273,006 = 273,006/x
  3. Step 3: Cross multiply
    124,826x = 273,006 × 273,006
  4. Step 4: Simplify right side
    124,826x = 74,532,276,036
  5. Step 5: Solve for x
    x = 74,532,276,036/124,826
  6. Step 6: Final answer
    x = 597,089.36

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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.