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Finding the Third Proportional to 97,072.50 and 212,105

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Solution

The third proportional to 97,072.50 and 212,105 is: 463,452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,072.50 : 212,105 = 212,105 : x
  2. Step 2: Convert to fraction form
    97,072.50/212,105 = 212,105/x
  3. Step 3: Cross multiply
    97,072.50x = 212,105 × 212,105
  4. Step 4: Simplify right side
    97,072.50x = 44,988,531,025
  5. Step 5: Solve for x
    x = 44,988,531,025/97,072.50
  6. Step 6: Final answer
    x = 463,452.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.