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Finding the Third Proportional to 64,698 and 98,775

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Solution

The third proportional to 64,698 and 98,775 is: 150,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,698 : 98,775 = 98,775 : x
  2. Step 2: Convert to fraction form
    64,698/98,775 = 98,775/x
  3. Step 3: Cross multiply
    64,698x = 98,775 × 98,775
  4. Step 4: Simplify right side
    64,698x = 9,756,500,625
  5. Step 5: Solve for x
    x = 9,756,500,625/64,698
  6. Step 6: Final answer
    x = 150,800.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.