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Finding the Third Proportional to 127,083 and 275,087

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Solution

The third proportional to 127,083 and 275,087 is: 595,460.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,083 : 275,087 = 275,087 : x
  2. Step 2: Convert to fraction form
    127,083/275,087 = 275,087/x
  3. Step 3: Cross multiply
    127,083x = 275,087 × 275,087
  4. Step 4: Simplify right side
    127,083x = 75,672,857,569
  5. Step 5: Solve for x
    x = 75,672,857,569/127,083
  6. Step 6: Final answer
    x = 595,460.11

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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.