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Finding the Third Proportional to 119,454.75 and 261,063

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Solution

The third proportional to 119,454.75 and 261,063 is: 570,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,454.75 : 261,063 = 261,063 : x
  2. Step 2: Convert to fraction form
    119,454.75/261,063 = 261,063/x
  3. Step 3: Cross multiply
    119,454.75x = 261,063 × 261,063
  4. Step 4: Simplify right side
    119,454.75x = 68,153,889,969
  5. Step 5: Solve for x
    x = 68,153,889,969/119,454.75
  6. Step 6: Final answer
    x = 570,541.48

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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.