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Finding the Third Proportional to 30,178 and 65,378

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Solution

The third proportional to 30,178 and 65,378 is: 141,635.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,178 : 65,378 = 65,378 : x
  2. Step 2: Convert to fraction form
    30,178/65,378 = 65,378/x
  3. Step 3: Cross multiply
    30,178x = 65,378 × 65,378
  4. Step 4: Simplify right side
    30,178x = 4,274,282,884
  5. Step 5: Solve for x
    x = 4,274,282,884/30,178
  6. Step 6: Final answer
    x = 141,635.72

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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.