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Finding the Third Proportional to 51,033 and 108,243

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Solution

The third proportional to 51,033 and 108,243 is: 229,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,033 : 108,243 = 108,243 : x
  2. Step 2: Convert to fraction form
    51,033/108,243 = 108,243/x
  3. Step 3: Cross multiply
    51,033x = 108,243 × 108,243
  4. Step 4: Simplify right side
    51,033x = 11,716,547,049
  5. Step 5: Solve for x
    x = 11,716,547,049/51,033
  6. Step 6: Final answer
    x = 229,587.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.