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Finding the Third Proportional to 64,196 and 139,232

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Solution

The third proportional to 64,196 and 139,232 is: 301,974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,196 : 139,232 = 139,232 : x
  2. Step 2: Convert to fraction form
    64,196/139,232 = 139,232/x
  3. Step 3: Cross multiply
    64,196x = 139,232 × 139,232
  4. Step 4: Simplify right side
    64,196x = 19,385,549,824
  5. Step 5: Solve for x
    x = 19,385,549,824/64,196
  6. Step 6: Final answer
    x = 301,974.42

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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.