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Finding the Third Proportional to 68,541 and 102,243

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Solution

The third proportional to 68,541 and 102,243 is: 152,516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,541 : 102,243 = 102,243 : x
  2. Step 2: Convert to fraction form
    68,541/102,243 = 102,243/x
  3. Step 3: Cross multiply
    68,541x = 102,243 × 102,243
  4. Step 4: Simplify right side
    68,541x = 10,453,631,049
  5. Step 5: Solve for x
    x = 10,453,631,049/68,541
  6. Step 6: Final answer
    x = 152,516.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.