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Finding the Third Proportional to 45,308 and 94,747

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Solution

The third proportional to 45,308 and 94,747 is: 198,132.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,308 : 94,747 = 94,747 : x
  2. Step 2: Convert to fraction form
    45,308/94,747 = 94,747/x
  3. Step 3: Cross multiply
    45,308x = 94,747 × 94,747
  4. Step 4: Simplify right side
    45,308x = 8,976,994,009
  5. Step 5: Solve for x
    x = 8,976,994,009/45,308
  6. Step 6: Final answer
    x = 198,132.65

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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.