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Finding the Third Proportional to 127,079.30 and 275,080.01

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Solution

The third proportional to 127,079.30 and 275,080.01 is: 595,447.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,079.30 : 275,080.01 = 275,080.01 : x
  2. Step 2: Convert to fraction form
    127,079.30/275,080.01 = 275,080.01/x
  3. Step 3: Cross multiply
    127,079.30x = 275,080.01 × 275,080.01
  4. Step 4: Simplify right side
    127,079.30x = 75,669,010,698.13
  5. Step 5: Solve for x
    x = 75,669,010,698.13/127,079.30
  6. Step 6: Final answer
    x = 595,447.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.