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Finding the Third Proportional to 64,040 and 102,895

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Solution

The third proportional to 64,040 and 102,895 is: 165,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,040 : 102,895 = 102,895 : x
  2. Step 2: Convert to fraction form
    64,040/102,895 = 102,895/x
  3. Step 3: Cross multiply
    64,040x = 102,895 × 102,895
  4. Step 4: Simplify right side
    64,040x = 10,587,381,025
  5. Step 5: Solve for x
    x = 10,587,381,025/64,040
  6. Step 6: Final answer
    x = 165,324.50

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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.