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Finding the Third Proportional to 65,567 and 141,502

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Solution

The third proportional to 65,567 and 141,502 is: 305,379.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,567 : 141,502 = 141,502 : x
  2. Step 2: Convert to fraction form
    65,567/141,502 = 141,502/x
  3. Step 3: Cross multiply
    65,567x = 141,502 × 141,502
  4. Step 4: Simplify right side
    65,567x = 20,022,816,004
  5. Step 5: Solve for x
    x = 20,022,816,004/65,567
  6. Step 6: Final answer
    x = 305,379.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.