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Finding the Third Proportional to 125,923.50 and 272,151

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Solution

The third proportional to 125,923.50 and 272,151 is: 588,183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,923.50 : 272,151 = 272,151 : x
  2. Step 2: Convert to fraction form
    125,923.50/272,151 = 272,151/x
  3. Step 3: Cross multiply
    125,923.50x = 272,151 × 272,151
  4. Step 4: Simplify right side
    125,923.50x = 74,066,166,801
  5. Step 5: Solve for x
    x = 74,066,166,801/125,923.50
  6. Step 6: Final answer
    x = 588,183.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.