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Finding the Third Proportional to 45,214.50 and 97,962

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Solution

The third proportional to 45,214.50 and 97,962 is: 212,245.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,214.50 : 97,962 = 97,962 : x
  2. Step 2: Convert to fraction form
    45,214.50/97,962 = 97,962/x
  3. Step 3: Cross multiply
    45,214.50x = 97,962 × 97,962
  4. Step 4: Simplify right side
    45,214.50x = 9,596,553,444
  5. Step 5: Solve for x
    x = 9,596,553,444/45,214.50
  6. Step 6: Final answer
    x = 212,245.04

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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.