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Finding the Third Proportional to 64,177 and 99,766

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Solution

The third proportional to 64,177 and 99,766 is: 155,090.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,177 : 99,766 = 99,766 : x
  2. Step 2: Convert to fraction form
    64,177/99,766 = 99,766/x
  3. Step 3: Cross multiply
    64,177x = 99,766 × 99,766
  4. Step 4: Simplify right side
    64,177x = 9,953,254,756
  5. Step 5: Solve for x
    x = 9,953,254,756/64,177
  6. Step 6: Final answer
    x = 155,090.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.