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Finding the Third Proportional to 45,906 and 97,323

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Solution

The third proportional to 45,906 and 97,323 is: 206,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,906 : 97,323 = 97,323 : x
  2. Step 2: Convert to fraction form
    45,906/97,323 = 97,323/x
  3. Step 3: Cross multiply
    45,906x = 97,323 × 97,323
  4. Step 4: Simplify right side
    45,906x = 9,471,766,329
  5. Step 5: Solve for x
    x = 9,471,766,329/45,906
  6. Step 6: Final answer
    x = 206,329.59

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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.