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Finding the Third Proportional to 43,592 and 97,054

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Solution

The third proportional to 43,592 and 97,054 is: 216,082.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,592 : 97,054 = 97,054 : x
  2. Step 2: Convert to fraction form
    43,592/97,054 = 97,054/x
  3. Step 3: Cross multiply
    43,592x = 97,054 × 97,054
  4. Step 4: Simplify right side
    43,592x = 9,419,478,916
  5. Step 5: Solve for x
    x = 9,419,478,916/43,592
  6. Step 6: Final answer
    x = 216,082.74

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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.