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Finding the Third Proportional to 97,956 and 212,532

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Solution

The third proportional to 97,956 and 212,532 is: 461,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,956 : 212,532 = 212,532 : x
  2. Step 2: Convert to fraction form
    97,956/212,532 = 212,532/x
  3. Step 3: Cross multiply
    97,956x = 212,532 × 212,532
  4. Step 4: Simplify right side
    97,956x = 45,169,851,024
  5. Step 5: Solve for x
    x = 45,169,851,024/97,956
  6. Step 6: Final answer
    x = 461,123.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.