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Finding the Third Proportional to 125,617.50 and 273,783

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Solution

The third proportional to 125,617.50 and 273,783 is: 596,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,617.50 : 273,783 = 273,783 : x
  2. Step 2: Convert to fraction form
    125,617.50/273,783 = 273,783/x
  3. Step 3: Cross multiply
    125,617.50x = 273,783 × 273,783
  4. Step 4: Simplify right side
    125,617.50x = 74,957,131,089
  5. Step 5: Solve for x
    x = 74,957,131,089/125,617.50
  6. Step 6: Final answer
    x = 596,709.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.