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Finding the Third Proportional to 29,964 and 65,112

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Solution

The third proportional to 29,964 and 65,112 is: 141,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,964 : 65,112 = 65,112 : x
  2. Step 2: Convert to fraction form
    29,964/65,112 = 65,112/x
  3. Step 3: Cross multiply
    29,964x = 65,112 × 65,112
  4. Step 4: Simplify right side
    29,964x = 4,239,572,544
  5. Step 5: Solve for x
    x = 4,239,572,544/29,964
  6. Step 6: Final answer
    x = 141,488.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.