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Finding the Third Proportional to 53,367 and 83,713

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Solution

The third proportional to 53,367 and 83,713 is: 131,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,367 : 83,713 = 83,713 : x
  2. Step 2: Convert to fraction form
    53,367/83,713 = 83,713/x
  3. Step 3: Cross multiply
    53,367x = 83,713 × 83,713
  4. Step 4: Simplify right side
    53,367x = 7,007,866,369
  5. Step 5: Solve for x
    x = 7,007,866,369/53,367
  6. Step 6: Final answer
    x = 131,314.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.