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Finding the Third Proportional to 61,357.50 and 125,631

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Solution

The third proportional to 61,357.50 and 125,631 is: 257,232.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,357.50 : 125,631 = 125,631 : x
  2. Step 2: Convert to fraction form
    61,357.50/125,631 = 125,631/x
  3. Step 3: Cross multiply
    61,357.50x = 125,631 × 125,631
  4. Step 4: Simplify right side
    61,357.50x = 15,783,148,161
  5. Step 5: Solve for x
    x = 15,783,148,161/61,357.50
  6. Step 6: Final answer
    x = 257,232.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.