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Finding the Third Proportional to 127,006 and 273,127

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Solution

The third proportional to 127,006 and 273,127 is: 587,360.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,006 : 273,127 = 273,127 : x
  2. Step 2: Convert to fraction form
    127,006/273,127 = 273,127/x
  3. Step 3: Cross multiply
    127,006x = 273,127 × 273,127
  4. Step 4: Simplify right side
    127,006x = 74,598,358,129
  5. Step 5: Solve for x
    x = 74,598,358,129/127,006
  6. Step 6: Final answer
    x = 587,360.90

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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.