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Finding the Third Proportional to 47,205 and 96,588

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Solution

The third proportional to 47,205 and 96,588 is: 197,632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,205 : 96,588 = 96,588 : x
  2. Step 2: Convert to fraction form
    47,205/96,588 = 96,588/x
  3. Step 3: Cross multiply
    47,205x = 96,588 × 96,588
  4. Step 4: Simplify right side
    47,205x = 9,329,241,744
  5. Step 5: Solve for x
    x = 9,329,241,744/47,205
  6. Step 6: Final answer
    x = 197,632.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.