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Finding the Third Proportional to 64,655 and 100,913

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Solution

The third proportional to 64,655 and 100,913 is: 157,504.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,655 : 100,913 = 100,913 : x
  2. Step 2: Convert to fraction form
    64,655/100,913 = 100,913/x
  3. Step 3: Cross multiply
    64,655x = 100,913 × 100,913
  4. Step 4: Simplify right side
    64,655x = 10,183,433,569
  5. Step 5: Solve for x
    x = 10,183,433,569/64,655
  6. Step 6: Final answer
    x = 157,504.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.