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Finding the Third Proportional to 64,036 and 102,889

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Solution

The third proportional to 64,036 and 102,889 is: 165,315.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,036 : 102,889 = 102,889 : x
  2. Step 2: Convert to fraction form
    64,036/102,889 = 102,889/x
  3. Step 3: Cross multiply
    64,036x = 102,889 × 102,889
  4. Step 4: Simplify right side
    64,036x = 10,586,146,321
  5. Step 5: Solve for x
    x = 10,586,146,321/64,036
  6. Step 6: Final answer
    x = 165,315.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.