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Finding the Third Proportional to 124,821 and 260,010

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Solution

The third proportional to 124,821 and 260,010 is: 541,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,821 : 260,010 = 260,010 : x
  2. Step 2: Convert to fraction form
    124,821/260,010 = 260,010/x
  3. Step 3: Cross multiply
    124,821x = 260,010 × 260,010
  4. Step 4: Simplify right side
    124,821x = 67,605,200,100
  5. Step 5: Solve for x
    x = 67,605,200,100/124,821
  6. Step 6: Final answer
    x = 541,617.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.