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Finding the Third Proportional to 136,262.25 and 176,917.50

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Solution

The third proportional to 136,262.25 and 176,917.50 is: 229,702.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,262.25 : 176,917.50 = 176,917.50 : x
  2. Step 2: Convert to fraction form
    136,262.25/176,917.50 = 176,917.50/x
  3. Step 3: Cross multiply
    136,262.25x = 176,917.50 × 176,917.50
  4. Step 4: Simplify right side
    136,262.25x = 31,299,801,806.25
  5. Step 5: Solve for x
    x = 31,299,801,806.25/136,262.25
  6. Step 6: Final answer
    x = 229,702.66

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.