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Finding the Third Proportional to 58,341 and 125,883

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Solution

The third proportional to 58,341 and 125,883 is: 271,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,341 : 125,883 = 125,883 : x
  2. Step 2: Convert to fraction form
    58,341/125,883 = 125,883/x
  3. Step 3: Cross multiply
    58,341x = 125,883 × 125,883
  4. Step 4: Simplify right side
    58,341x = 15,846,529,689
  5. Step 5: Solve for x
    x = 15,846,529,689/58,341
  6. Step 6: Final answer
    x = 271,619.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.