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Finding the Third Proportional to 29,975 and 65,239

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Solution

The third proportional to 29,975 and 65,239 is: 141,989.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,975 : 65,239 = 65,239 : x
  2. Step 2: Convert to fraction form
    29,975/65,239 = 65,239/x
  3. Step 3: Cross multiply
    29,975x = 65,239 × 65,239
  4. Step 4: Simplify right side
    29,975x = 4,256,127,121
  5. Step 5: Solve for x
    x = 4,256,127,121/29,975
  6. Step 6: Final answer
    x = 141,989.23

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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.