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Finding the Third Proportional to 61,575.19 and 132,571.69

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Solution

The third proportional to 61,575.19 and 132,571.69 is: 285,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,575.19 : 132,571.69 = 132,571.69 : x
  2. Step 2: Convert to fraction form
    61,575.19/132,571.69 = 132,571.69/x
  3. Step 3: Cross multiply
    61,575.19x = 132,571.69 × 132,571.69
  4. Step 4: Simplify right side
    61,575.19x = 17,575,252,326.60
  5. Step 5: Solve for x
    x = 17,575,252,326.60/61,575.19
  6. Step 6: Final answer
    x = 285,427.51

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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.