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Finding the Third Proportional to 124,977.94 and 264,853.13

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Solution

The third proportional to 124,977.94 and 264,853.13 is: 561,276.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,977.94 : 264,853.13 = 264,853.13 : x
  2. Step 2: Convert to fraction form
    124,977.94/264,853.13 = 264,853.13/x
  3. Step 3: Cross multiply
    124,977.94x = 264,853.13 × 264,853.13
  4. Step 4: Simplify right side
    124,977.94x = 70,147,177,822.27
  5. Step 5: Solve for x
    x = 70,147,177,822.27/124,977.94
  6. Step 6: Final answer
    x = 561,276.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.