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Finding the Third Proportional to 127,616 and 279,772

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Solution

The third proportional to 127,616 and 279,772 is: 613,342.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,616 : 279,772 = 279,772 : x
  2. Step 2: Convert to fraction form
    127,616/279,772 = 279,772/x
  3. Step 3: Cross multiply
    127,616x = 279,772 × 279,772
  4. Step 4: Simplify right side
    127,616x = 78,272,371,984
  5. Step 5: Solve for x
    x = 78,272,371,984/127,616
  6. Step 6: Final answer
    x = 613,342.93

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Why These Related Problems?

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