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Finding the Third Proportional to 127,607 and 279,637

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Solution

The third proportional to 127,607 and 279,637 is: 612,794.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,607 : 279,637 = 279,637 : x
  2. Step 2: Convert to fraction form
    127,607/279,637 = 279,637/x
  3. Step 3: Cross multiply
    127,607x = 279,637 × 279,637
  4. Step 4: Simplify right side
    127,607x = 78,196,851,769
  5. Step 5: Solve for x
    x = 78,196,851,769/127,607
  6. Step 6: Final answer
    x = 612,794.37

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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.