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Finding the Third Proportional to 45,360 and 94,851

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Solution

The third proportional to 45,360 and 94,851 is: 198,340.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,360 : 94,851 = 94,851 : x
  2. Step 2: Convert to fraction form
    45,360/94,851 = 94,851/x
  3. Step 3: Cross multiply
    45,360x = 94,851 × 94,851
  4. Step 4: Simplify right side
    45,360x = 8,996,712,201
  5. Step 5: Solve for x
    x = 8,996,712,201/45,360
  6. Step 6: Final answer
    x = 198,340.22

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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.