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Finding the Third Proportional to 64,386 and 102,451

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Solution

The third proportional to 64,386 and 102,451 is: 163,020.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,386 : 102,451 = 102,451 : x
  2. Step 2: Convert to fraction form
    64,386/102,451 = 102,451/x
  3. Step 3: Cross multiply
    64,386x = 102,451 × 102,451
  4. Step 4: Simplify right side
    64,386x = 10,496,207,401
  5. Step 5: Solve for x
    x = 10,496,207,401/64,386
  6. Step 6: Final answer
    x = 163,020.03

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.