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Finding the Third Proportional to 119,133 and 255,534

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Solution

The third proportional to 119,133 and 255,534 is: 548,106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,133 : 255,534 = 255,534 : x
  2. Step 2: Convert to fraction form
    119,133/255,534 = 255,534/x
  3. Step 3: Cross multiply
    119,133x = 255,534 × 255,534
  4. Step 4: Simplify right side
    119,133x = 65,297,625,156
  5. Step 5: Solve for x
    x = 65,297,625,156/119,133
  6. Step 6: Final answer
    x = 548,106.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.