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Finding the Third Proportional to 127,710 and 273,753

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Solution

The third proportional to 127,710 and 273,753 is: 586,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,710 : 273,753 = 273,753 : x
  2. Step 2: Convert to fraction form
    127,710/273,753 = 273,753/x
  3. Step 3: Cross multiply
    127,710x = 273,753 × 273,753
  4. Step 4: Simplify right side
    127,710x = 74,940,705,009
  5. Step 5: Solve for x
    x = 74,940,705,009/127,710
  6. Step 6: Final answer
    x = 586,803.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.