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Finding the Third Proportional to 61,573.50 and 132,645.25

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Solution

The third proportional to 61,573.50 and 132,645.25 is: 285,752.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,573.50 : 132,645.25 = 132,645.25 : x
  2. Step 2: Convert to fraction form
    61,573.50/132,645.25 = 132,645.25/x
  3. Step 3: Cross multiply
    61,573.50x = 132,645.25 × 132,645.25
  4. Step 4: Simplify right side
    61,573.50x = 17,594,762,347.56
  5. Step 5: Solve for x
    x = 17,594,762,347.56/61,573.50
  6. Step 6: Final answer
    x = 285,752.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.