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Finding the Third Proportional to 64,037 and 102,890

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Solution

The third proportional to 64,037 and 102,890 is: 165,316.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,037 : 102,890 = 102,890 : x
  2. Step 2: Convert to fraction form
    64,037/102,890 = 102,890/x
  3. Step 3: Cross multiply
    64,037x = 102,890 × 102,890
  4. Step 4: Simplify right side
    64,037x = 10,586,352,100
  5. Step 5: Solve for x
    x = 10,586,352,100/64,037
  6. Step 6: Final answer
    x = 165,316.18

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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.