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Finding the Third Proportional to 51,528 and 108,686

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Solution

The third proportional to 51,528 and 108,686 is: 229,247.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,528 : 108,686 = 108,686 : x
  2. Step 2: Convert to fraction form
    51,528/108,686 = 108,686/x
  3. Step 3: Cross multiply
    51,528x = 108,686 × 108,686
  4. Step 4: Simplify right side
    51,528x = 11,812,646,596
  5. Step 5: Solve for x
    x = 11,812,646,596/51,528
  6. Step 6: Final answer
    x = 229,247.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.