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Finding the Third Proportional to 36,078 and 78,798

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Solution

The third proportional to 36,078 and 78,798 is: 172,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,078 : 78,798 = 78,798 : x
  2. Step 2: Convert to fraction form
    36,078/78,798 = 78,798/x
  3. Step 3: Cross multiply
    36,078x = 78,798 × 78,798
  4. Step 4: Simplify right side
    36,078x = 6,209,124,804
  5. Step 5: Solve for x
    x = 6,209,124,804/36,078
  6. Step 6: Final answer
    x = 172,102.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.