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Finding the Third Proportional to 64,222 and 139,483

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Solution

The third proportional to 64,222 and 139,483 is: 302,941.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,222 : 139,483 = 139,483 : x
  2. Step 2: Convert to fraction form
    64,222/139,483 = 139,483/x
  3. Step 3: Cross multiply
    64,222x = 139,483 × 139,483
  4. Step 4: Simplify right side
    64,222x = 19,455,507,289
  5. Step 5: Solve for x
    x = 19,455,507,289/64,222
  6. Step 6: Final answer
    x = 302,941.47

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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.