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Finding the Third Proportional to 45,043 and 96,646

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Solution

The third proportional to 45,043 and 96,646 is: 207,367.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,043 : 96,646 = 96,646 : x
  2. Step 2: Convert to fraction form
    45,043/96,646 = 96,646/x
  3. Step 3: Cross multiply
    45,043x = 96,646 × 96,646
  4. Step 4: Simplify right side
    45,043x = 9,340,449,316
  5. Step 5: Solve for x
    x = 9,340,449,316/45,043
  6. Step 6: Final answer
    x = 207,367.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.