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Finding the Third Proportional to 64,224 and 139,486

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Solution

The third proportional to 64,224 and 139,486 is: 302,945.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,224 : 139,486 = 139,486 : x
  2. Step 2: Convert to fraction form
    64,224/139,486 = 139,486/x
  3. Step 3: Cross multiply
    64,224x = 139,486 × 139,486
  4. Step 4: Simplify right side
    64,224x = 19,456,344,196
  5. Step 5: Solve for x
    x = 19,456,344,196/64,224
  6. Step 6: Final answer
    x = 302,945.07

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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.