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Finding the Third Proportional to 45,302 and 94,732

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Solution

The third proportional to 45,302 and 94,732 is: 198,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,302 : 94,732 = 94,732 : x
  2. Step 2: Convert to fraction form
    45,302/94,732 = 94,732/x
  3. Step 3: Cross multiply
    45,302x = 94,732 × 94,732
  4. Step 4: Simplify right side
    45,302x = 8,974,151,824
  5. Step 5: Solve for x
    x = 8,974,151,824/45,302
  6. Step 6: Final answer
    x = 198,096.15

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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.