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Finding the Third Proportional to 79,360 and 108,820

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Solution

The third proportional to 79,360 and 108,820 is: 149,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,360 : 108,820 = 108,820 : x
  2. Step 2: Convert to fraction form
    79,360/108,820 = 108,820/x
  3. Step 3: Cross multiply
    79,360x = 108,820 × 108,820
  4. Step 4: Simplify right side
    79,360x = 11,841,792,400
  5. Step 5: Solve for x
    x = 11,841,792,400/79,360
  6. Step 6: Final answer
    x = 149,216.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.