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Finding the Third Proportional to 68,827.75 and 152,395

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Solution

The third proportional to 68,827.75 and 152,395 is: 337,425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,827.75 : 152,395 = 152,395 : x
  2. Step 2: Convert to fraction form
    68,827.75/152,395 = 152,395/x
  3. Step 3: Cross multiply
    68,827.75x = 152,395 × 152,395
  4. Step 4: Simplify right side
    68,827.75x = 23,224,236,025
  5. Step 5: Solve for x
    x = 23,224,236,025/68,827.75
  6. Step 6: Final answer
    x = 337,425.47

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.