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Finding the Third Proportional to 127,088 and 273,853

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Solution

The third proportional to 127,088 and 273,853 is: 590,106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,088 : 273,853 = 273,853 : x
  2. Step 2: Convert to fraction form
    127,088/273,853 = 273,853/x
  3. Step 3: Cross multiply
    127,088x = 273,853 × 273,853
  4. Step 4: Simplify right side
    127,088x = 74,995,465,609
  5. Step 5: Solve for x
    x = 74,995,465,609/127,088
  6. Step 6: Final answer
    x = 590,106.58

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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.