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Finding the Third Proportional to 61,017.75 and 132,342.75

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Solution

The third proportional to 61,017.75 and 132,342.75 is: 287,041.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,017.75 : 132,342.75 = 132,342.75 : x
  2. Step 2: Convert to fraction form
    61,017.75/132,342.75 = 132,342.75/x
  3. Step 3: Cross multiply
    61,017.75x = 132,342.75 × 132,342.75
  4. Step 4: Simplify right side
    61,017.75x = 17,514,603,477.56
  5. Step 5: Solve for x
    x = 17,514,603,477.56/61,017.75
  6. Step 6: Final answer
    x = 287,041.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.