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Finding the Third Proportional to 65,148 and 141,954

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Solution

The third proportional to 65,148 and 141,954 is: 309,310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,148 : 141,954 = 141,954 : x
  2. Step 2: Convert to fraction form
    65,148/141,954 = 141,954/x
  3. Step 3: Cross multiply
    65,148x = 141,954 × 141,954
  4. Step 4: Simplify right side
    65,148x = 20,150,938,116
  5. Step 5: Solve for x
    x = 20,150,938,116/65,148
  6. Step 6: Final answer
    x = 309,310.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.