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Finding the Third Proportional to 45,138 and 97,809

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Solution

The third proportional to 45,138 and 97,809 is: 211,941.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,138 : 97,809 = 97,809 : x
  2. Step 2: Convert to fraction form
    45,138/97,809 = 97,809/x
  3. Step 3: Cross multiply
    45,138x = 97,809 × 97,809
  4. Step 4: Simplify right side
    45,138x = 9,566,600,481
  5. Step 5: Solve for x
    x = 9,566,600,481/45,138
  6. Step 6: Final answer
    x = 211,941.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.