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Finding the Third Proportional to 65,954 and 145,036

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Solution

The third proportional to 65,954 and 145,036 is: 318,941.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,954 : 145,036 = 145,036 : x
  2. Step 2: Convert to fraction form
    65,954/145,036 = 145,036/x
  3. Step 3: Cross multiply
    65,954x = 145,036 × 145,036
  4. Step 4: Simplify right side
    65,954x = 21,035,441,296
  5. Step 5: Solve for x
    x = 21,035,441,296/65,954
  6. Step 6: Final answer
    x = 318,941.10

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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.