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Finding the Third Proportional to 64,317 and 139,323

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Solution

The third proportional to 64,317 and 139,323 is: 301,800.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,317 : 139,323 = 139,323 : x
  2. Step 2: Convert to fraction form
    64,317/139,323 = 139,323/x
  3. Step 3: Cross multiply
    64,317x = 139,323 × 139,323
  4. Step 4: Simplify right side
    64,317x = 19,410,898,329
  5. Step 5: Solve for x
    x = 19,410,898,329/64,317
  6. Step 6: Final answer
    x = 301,800.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.