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Finding the Third Proportional to 58,541.63 and 125,963.44

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Solution

The third proportional to 58,541.63 and 125,963.44 is: 271,034.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,541.63 : 125,963.44 = 125,963.44 : x
  2. Step 2: Convert to fraction form
    58,541.63/125,963.44 = 125,963.44/x
  3. Step 3: Cross multiply
    58,541.63x = 125,963.44 × 125,963.44
  4. Step 4: Simplify right side
    58,541.63x = 15,866,787,586.82
  5. Step 5: Solve for x
    x = 15,866,787,586.82/58,541.63
  6. Step 6: Final answer
    x = 271,034.29

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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.