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Finding the Third Proportional to 68,554 and 149,564

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Solution

The third proportional to 68,554 and 149,564 is: 326,303.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,554 : 149,564 = 149,564 : x
  2. Step 2: Convert to fraction form
    68,554/149,564 = 149,564/x
  3. Step 3: Cross multiply
    68,554x = 149,564 × 149,564
  4. Step 4: Simplify right side
    68,554x = 22,369,390,096
  5. Step 5: Solve for x
    x = 22,369,390,096/68,554
  6. Step 6: Final answer
    x = 326,303.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.