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Finding the Third Proportional to 45,205 and 94,540

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Solution

The third proportional to 45,205 and 94,540 is: 197,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,205 : 94,540 = 94,540 : x
  2. Step 2: Convert to fraction form
    45,205/94,540 = 94,540/x
  3. Step 3: Cross multiply
    45,205x = 94,540 × 94,540
  4. Step 4: Simplify right side
    45,205x = 8,937,811,600
  5. Step 5: Solve for x
    x = 8,937,811,600/45,205
  6. Step 6: Final answer
    x = 197,717.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.