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Finding the Third Proportional to 29,702 and 65,242

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Solution

The third proportional to 29,702 and 65,242 is: 143,307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,702 : 65,242 = 65,242 : x
  2. Step 2: Convert to fraction form
    29,702/65,242 = 65,242/x
  3. Step 3: Cross multiply
    29,702x = 65,242 × 65,242
  4. Step 4: Simplify right side
    29,702x = 4,256,518,564
  5. Step 5: Solve for x
    x = 4,256,518,564/29,702
  6. Step 6: Final answer
    x = 143,307.47

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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.