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Finding the Third Proportional to 124,710 and 275,670

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Solution

The third proportional to 124,710 and 275,670 is: 609,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,710 : 275,670 = 275,670 : x
  2. Step 2: Convert to fraction form
    124,710/275,670 = 275,670/x
  3. Step 3: Cross multiply
    124,710x = 275,670 × 275,670
  4. Step 4: Simplify right side
    124,710x = 75,993,948,900
  5. Step 5: Solve for x
    x = 75,993,948,900/124,710
  6. Step 6: Final answer
    x = 609,365.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.