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Finding the Third Proportional to 127,089 and 273,871.13

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Solution

The third proportional to 127,089 and 273,871.13 is: 590,180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,089 : 273,871.13 = 273,871.13 : x
  2. Step 2: Convert to fraction form
    127,089/273,871.13 = 273,871.13/x
  3. Step 3: Cross multiply
    127,089x = 273,871.13 × 273,871.13
  4. Step 4: Simplify right side
    127,089x = 75,005,393,108.77
  5. Step 5: Solve for x
    x = 75,005,393,108.77/127,089
  6. Step 6: Final answer
    x = 590,180.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.