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Finding the Third Proportional to 65,152 and 141,962

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Solution

The third proportional to 65,152 and 141,962 is: 309,326.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,152 : 141,962 = 141,962 : x
  2. Step 2: Convert to fraction form
    65,152/141,962 = 141,962/x
  3. Step 3: Cross multiply
    65,152x = 141,962 × 141,962
  4. Step 4: Simplify right side
    65,152x = 20,153,209,444
  5. Step 5: Solve for x
    x = 20,153,209,444/65,152
  6. Step 6: Final answer
    x = 309,326.03

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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.