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Finding the Third Proportional to 64,660 and 103,232

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Solution

The third proportional to 64,660 and 103,232 is: 164,813.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,660 : 103,232 = 103,232 : x
  2. Step 2: Convert to fraction form
    64,660/103,232 = 103,232/x
  3. Step 3: Cross multiply
    64,660x = 103,232 × 103,232
  4. Step 4: Simplify right side
    64,660x = 10,656,845,824
  5. Step 5: Solve for x
    x = 10,656,845,824/64,660
  6. Step 6: Final answer
    x = 164,813.58

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.