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Finding the Third Proportional to 124,477 and 273,142

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Solution

The third proportional to 124,477 and 273,142 is: 599,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,477 : 273,142 = 273,142 : x
  2. Step 2: Convert to fraction form
    124,477/273,142 = 273,142/x
  3. Step 3: Cross multiply
    124,477x = 273,142 × 273,142
  4. Step 4: Simplify right side
    124,477x = 74,606,552,164
  5. Step 5: Solve for x
    x = 74,606,552,164/124,477
  6. Step 6: Final answer
    x = 599,360.14

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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.