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Finding the Third Proportional to 124,939 and 273,178

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Solution

The third proportional to 124,939 and 273,178 is: 597,301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,939 : 273,178 = 273,178 : x
  2. Step 2: Convert to fraction form
    124,939/273,178 = 273,178/x
  3. Step 3: Cross multiply
    124,939x = 273,178 × 273,178
  4. Step 4: Simplify right side
    124,939x = 74,626,219,684
  5. Step 5: Solve for x
    x = 74,626,219,684/124,939
  6. Step 6: Final answer
    x = 597,301.24

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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.