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Finding the Third Proportional to 65,925 and 145,296

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Solution

The third proportional to 65,925 and 145,296 is: 320,226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,925 : 145,296 = 145,296 : x
  2. Step 2: Convert to fraction form
    65,925/145,296 = 145,296/x
  3. Step 3: Cross multiply
    65,925x = 145,296 × 145,296
  4. Step 4: Simplify right side
    65,925x = 21,110,927,616
  5. Step 5: Solve for x
    x = 21,110,927,616/65,925
  6. Step 6: Final answer
    x = 320,226.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.