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Finding the Third Proportional to 47,762 and 97,918

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Solution

The third proportional to 47,762 and 97,918 is: 200,744.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,762 : 97,918 = 97,918 : x
  2. Step 2: Convert to fraction form
    47,762/97,918 = 97,918/x
  3. Step 3: Cross multiply
    47,762x = 97,918 × 97,918
  4. Step 4: Simplify right side
    47,762x = 9,587,934,724
  5. Step 5: Solve for x
    x = 9,587,934,724/47,762
  6. Step 6: Final answer
    x = 200,744.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.