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Finding the Third Proportional to 64,596 and 100,722

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Solution

The third proportional to 64,596 and 100,722 is: 157,051.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,596 : 100,722 = 100,722 : x
  2. Step 2: Convert to fraction form
    64,596/100,722 = 100,722/x
  3. Step 3: Cross multiply
    64,596x = 100,722 × 100,722
  4. Step 4: Simplify right side
    64,596x = 10,144,921,284
  5. Step 5: Solve for x
    x = 10,144,921,284/64,596
  6. Step 6: Final answer
    x = 157,051.85

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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.