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Finding the Third Proportional to 53,294 and 80,078

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Solution

The third proportional to 53,294 and 80,078 is: 120,322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,294 : 80,078 = 80,078 : x
  2. Step 2: Convert to fraction form
    53,294/80,078 = 80,078/x
  3. Step 3: Cross multiply
    53,294x = 80,078 × 80,078
  4. Step 4: Simplify right side
    53,294x = 6,412,486,084
  5. Step 5: Solve for x
    x = 6,412,486,084/53,294
  6. Step 6: Final answer
    x = 120,322.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.