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Finding the Third Proportional to 66,676.50 and 157,395

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Solution

The third proportional to 66,676.50 and 157,395 is: 371,542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,676.50 : 157,395 = 157,395 : x
  2. Step 2: Convert to fraction form
    66,676.50/157,395 = 157,395/x
  3. Step 3: Cross multiply
    66,676.50x = 157,395 × 157,395
  4. Step 4: Simplify right side
    66,676.50x = 24,773,186,025
  5. Step 5: Solve for x
    x = 24,773,186,025/66,676.50
  6. Step 6: Final answer
    x = 371,542.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.