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Finding the Third Proportional to 57,005.44 and 131,954.06

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Solution

The third proportional to 57,005.44 and 131,954.06 is: 305,442.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,005.44 : 131,954.06 = 131,954.06 : x
  2. Step 2: Convert to fraction form
    57,005.44/131,954.06 = 131,954.06/x
  3. Step 3: Cross multiply
    57,005.44x = 131,954.06 × 131,954.06
  4. Step 4: Simplify right side
    57,005.44x = 17,411,874,610.25
  5. Step 5: Solve for x
    x = 17,411,874,610.25/57,005.44
  6. Step 6: Final answer
    x = 305,442.35

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.