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Finding the Third Proportional to 45,132 and 97,794

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Solution

The third proportional to 45,132 and 97,794 is: 211,904.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,132 : 97,794 = 97,794 : x
  2. Step 2: Convert to fraction form
    45,132/97,794 = 97,794/x
  3. Step 3: Cross multiply
    45,132x = 97,794 × 97,794
  4. Step 4: Simplify right side
    45,132x = 9,563,666,436
  5. Step 5: Solve for x
    x = 9,563,666,436/45,132
  6. Step 6: Final answer
    x = 211,904.33

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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.