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Finding the Third Proportional to 124,828 and 273,010

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Solution

The third proportional to 124,828 and 273,010 is: 597,097.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,828 : 273,010 = 273,010 : x
  2. Step 2: Convert to fraction form
    124,828/273,010 = 273,010/x
  3. Step 3: Cross multiply
    124,828x = 273,010 × 273,010
  4. Step 4: Simplify right side
    124,828x = 74,534,460,100
  5. Step 5: Solve for x
    x = 74,534,460,100/124,828
  6. Step 6: Final answer
    x = 597,097.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.