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Finding the Third Proportional to 53,219 and 79,367

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Solution

The third proportional to 53,219 and 79,367 is: 118,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,219 : 79,367 = 79,367 : x
  2. Step 2: Convert to fraction form
    53,219/79,367 = 79,367/x
  3. Step 3: Cross multiply
    53,219x = 79,367 × 79,367
  4. Step 4: Simplify right side
    53,219x = 6,299,120,689
  5. Step 5: Solve for x
    x = 6,299,120,689/53,219
  6. Step 6: Final answer
    x = 118,362.25

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