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Finding the Third Proportional to 61,782.75 and 131,903.44

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Solution

The third proportional to 61,782.75 and 131,903.44 is: 281,608.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,782.75 : 131,903.44 = 131,903.44 : x
  2. Step 2: Convert to fraction form
    61,782.75/131,903.44 = 131,903.44/x
  3. Step 3: Cross multiply
    61,782.75x = 131,903.44 × 131,903.44
  4. Step 4: Simplify right side
    61,782.75x = 17,398,516,824.32
  5. Step 5: Solve for x
    x = 17,398,516,824.32/61,782.75
  6. Step 6: Final answer
    x = 281,608.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.