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Finding the Third Proportional to 53,642 and 80,179

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Solution

The third proportional to 53,642 and 80,179 is: 119,844.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,642 : 80,179 = 80,179 : x
  2. Step 2: Convert to fraction form
    53,642/80,179 = 80,179/x
  3. Step 3: Cross multiply
    53,642x = 80,179 × 80,179
  4. Step 4: Simplify right side
    53,642x = 6,428,672,041
  5. Step 5: Solve for x
    x = 6,428,672,041/53,642
  6. Step 6: Final answer
    x = 119,844.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.