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Finding the Third Proportional to 127,012.50 and 275,913

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Solution

The third proportional to 127,012.50 and 275,913 is: 599,373.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,012.50 : 275,913 = 275,913 : x
  2. Step 2: Convert to fraction form
    127,012.50/275,913 = 275,913/x
  3. Step 3: Cross multiply
    127,012.50x = 275,913 × 275,913
  4. Step 4: Simplify right side
    127,012.50x = 76,127,983,569
  5. Step 5: Solve for x
    x = 76,127,983,569/127,012.50
  6. Step 6: Final answer
    x = 599,373.95

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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.