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Finding the Third Proportional to 36,000 and 78,084

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Solution

The third proportional to 36,000 and 78,084 is: 169,364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,000 : 78,084 = 78,084 : x
  2. Step 2: Convert to fraction form
    36,000/78,084 = 78,084/x
  3. Step 3: Cross multiply
    36,000x = 78,084 × 78,084
  4. Step 4: Simplify right side
    36,000x = 6,097,111,056
  5. Step 5: Solve for x
    x = 6,097,111,056/36,000
  6. Step 6: Final answer
    x = 169,364.20

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1.5x scale

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.