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Finding the Third Proportional to 127,026 and 279,967

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Solution

The third proportional to 127,026 and 279,967 is: 617,051.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,026 : 279,967 = 279,967 : x
  2. Step 2: Convert to fraction form
    127,026/279,967 = 279,967/x
  3. Step 3: Cross multiply
    127,026x = 279,967 × 279,967
  4. Step 4: Simplify right side
    127,026x = 78,381,521,089
  5. Step 5: Solve for x
    x = 78,381,521,089/127,026
  6. Step 6: Final answer
    x = 617,051.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.