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Finding the Third Proportional to 36,504 and 78,461

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Solution

The third proportional to 36,504 and 78,461 is: 168,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,504 : 78,461 = 78,461 : x
  2. Step 2: Convert to fraction form
    36,504/78,461 = 78,461/x
  3. Step 3: Cross multiply
    36,504x = 78,461 × 78,461
  4. Step 4: Simplify right side
    36,504x = 6,156,128,521
  5. Step 5: Solve for x
    x = 6,156,128,521/36,504
  6. Step 6: Final answer
    x = 168,642.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.