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Finding the Third Proportional to 45,904 and 97,328

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Solution

The third proportional to 45,904 and 97,328 is: 206,359.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,904 : 97,328 = 97,328 : x
  2. Step 2: Convert to fraction form
    45,904/97,328 = 97,328/x
  3. Step 3: Cross multiply
    45,904x = 97,328 × 97,328
  4. Step 4: Simplify right side
    45,904x = 9,472,739,584
  5. Step 5: Solve for x
    x = 9,472,739,584/45,904
  6. Step 6: Final answer
    x = 206,359.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.