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Finding the Third Proportional to 51,574 and 114,668

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Solution

The third proportional to 51,574 and 114,668 is: 254,949.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,574 : 114,668 = 114,668 : x
  2. Step 2: Convert to fraction form
    51,574/114,668 = 114,668/x
  3. Step 3: Cross multiply
    51,574x = 114,668 × 114,668
  4. Step 4: Simplify right side
    51,574x = 13,148,750,224
  5. Step 5: Solve for x
    x = 13,148,750,224/51,574
  6. Step 6: Final answer
    x = 254,949.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.