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Finding the Third Proportional to 30,082 and 65,186

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Solution

The third proportional to 30,082 and 65,186 is: 141,254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,082 : 65,186 = 65,186 : x
  2. Step 2: Convert to fraction form
    30,082/65,186 = 65,186/x
  3. Step 3: Cross multiply
    30,082x = 65,186 × 65,186
  4. Step 4: Simplify right side
    30,082x = 4,249,214,596
  5. Step 5: Solve for x
    x = 4,249,214,596/30,082
  6. Step 6: Final answer
    x = 141,254.39

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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.