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Finding the Third Proportional to 119,102 and 261,534

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Solution

The third proportional to 119,102 and 261,534 is: 574,297.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,102 : 261,534 = 261,534 : x
  2. Step 2: Convert to fraction form
    119,102/261,534 = 261,534/x
  3. Step 3: Cross multiply
    119,102x = 261,534 × 261,534
  4. Step 4: Simplify right side
    119,102x = 68,400,033,156
  5. Step 5: Solve for x
    x = 68,400,033,156/119,102
  6. Step 6: Final answer
    x = 574,297.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.