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Finding the Third Proportional to 64,049 and 94,416

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Solution

The third proportional to 64,049 and 94,416 is: 139,180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,049 : 94,416 = 94,416 : x
  2. Step 2: Convert to fraction form
    64,049/94,416 = 94,416/x
  3. Step 3: Cross multiply
    64,049x = 94,416 × 94,416
  4. Step 4: Simplify right side
    64,049x = 8,914,381,056
  5. Step 5: Solve for x
    x = 8,914,381,056/64,049
  6. Step 6: Final answer
    x = 139,180.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.