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Finding the Third Proportional to 64,861 and 139,726

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Solution

The third proportional to 64,861 and 139,726 is: 301,002.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,861 : 139,726 = 139,726 : x
  2. Step 2: Convert to fraction form
    64,861/139,726 = 139,726/x
  3. Step 3: Cross multiply
    64,861x = 139,726 × 139,726
  4. Step 4: Simplify right side
    64,861x = 19,523,355,076
  5. Step 5: Solve for x
    x = 19,523,355,076/64,861
  6. Step 6: Final answer
    x = 301,002.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.