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Finding the Third Proportional to 64,035 and 102,887

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Solution

The third proportional to 64,035 and 102,887 is: 165,311.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,035 : 102,887 = 102,887 : x
  2. Step 2: Convert to fraction form
    64,035/102,887 = 102,887/x
  3. Step 3: Cross multiply
    64,035x = 102,887 × 102,887
  4. Step 4: Simplify right side
    64,035x = 10,585,734,769
  5. Step 5: Solve for x
    x = 10,585,734,769/64,035
  6. Step 6: Final answer
    x = 165,311.70

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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.