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Finding the Third Proportional to 53,116 and 80,988

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Solution

The third proportional to 53,116 and 80,988 is: 123,485.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,116 : 80,988 = 80,988 : x
  2. Step 2: Convert to fraction form
    53,116/80,988 = 80,988/x
  3. Step 3: Cross multiply
    53,116x = 80,988 × 80,988
  4. Step 4: Simplify right side
    53,116x = 6,559,056,144
  5. Step 5: Solve for x
    x = 6,559,056,144/53,116
  6. Step 6: Final answer
    x = 123,485.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.