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Finding the Third Proportional to 127,299.75 and 279,061.50

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Solution

The third proportional to 127,299.75 and 279,061.50 is: 611,747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,299.75 : 279,061.50 = 279,061.50 : x
  2. Step 2: Convert to fraction form
    127,299.75/279,061.50 = 279,061.50/x
  3. Step 3: Cross multiply
    127,299.75x = 279,061.50 × 279,061.50
  4. Step 4: Simplify right side
    127,299.75x = 77,875,320,782.25
  5. Step 5: Solve for x
    x = 77,875,320,782.25/127,299.75
  6. Step 6: Final answer
    x = 611,747.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.