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Finding the Third Proportional to 43,613 and 97,094

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Solution

The third proportional to 43,613 and 97,094 is: 216,156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,613 : 97,094 = 97,094 : x
  2. Step 2: Convert to fraction form
    43,613/97,094 = 97,094/x
  3. Step 3: Cross multiply
    43,613x = 97,094 × 97,094
  4. Step 4: Simplify right side
    43,613x = 9,427,244,836
  5. Step 5: Solve for x
    x = 9,427,244,836/43,613
  6. Step 6: Final answer
    x = 216,156.76

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.