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Finding the Third Proportional to 45,463 and 97,245

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Solution

The third proportional to 45,463 and 97,245 is: 208,006.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,463 : 97,245 = 97,245 : x
  2. Step 2: Convert to fraction form
    45,463/97,245 = 97,245/x
  3. Step 3: Cross multiply
    45,463x = 97,245 × 97,245
  4. Step 4: Simplify right side
    45,463x = 9,456,590,025
  5. Step 5: Solve for x
    x = 9,456,590,025/45,463
  6. Step 6: Final answer
    x = 208,006.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.