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Finding the Third Proportional to 58,752.84 and 127,757.25

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Solution

The third proportional to 58,752.84 and 127,757.25 is: 277,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,752.84 : 127,757.25 = 127,757.25 : x
  2. Step 2: Convert to fraction form
    58,752.84/127,757.25 = 127,757.25/x
  3. Step 3: Cross multiply
    58,752.84x = 127,757.25 × 127,757.25
  4. Step 4: Simplify right side
    58,752.84x = 16,321,914,927.56
  5. Step 5: Solve for x
    x = 16,321,914,927.56/58,752.84
  6. Step 6: Final answer
    x = 277,806.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.