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Finding the Third Proportional to 58,982.25 and 127,350

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Solution

The third proportional to 58,982.25 and 127,350 is: 274,964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,982.25 : 127,350 = 127,350 : x
  2. Step 2: Convert to fraction form
    58,982.25/127,350 = 127,350/x
  3. Step 3: Cross multiply
    58,982.25x = 127,350 × 127,350
  4. Step 4: Simplify right side
    58,982.25x = 16,218,022,500
  5. Step 5: Solve for x
    x = 16,218,022,500/58,982.25
  6. Step 6: Final answer
    x = 274,964.46

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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.