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Finding the Third Proportional to 61,342.31 and 131,559.19

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Solution

The third proportional to 61,342.31 and 131,559.19 is: 282,151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,342.31 : 131,559.19 = 131,559.19 : x
  2. Step 2: Convert to fraction form
    61,342.31/131,559.19 = 131,559.19/x
  3. Step 3: Cross multiply
    61,342.31x = 131,559.19 × 131,559.19
  4. Step 4: Simplify right side
    61,342.31x = 17,307,819,815.66
  5. Step 5: Solve for x
    x = 17,307,819,815.66/61,342.31
  6. Step 6: Final answer
    x = 282,151.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.