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Finding the Third Proportional to 56,997 and 87,736.50

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Solution

The third proportional to 56,997 and 87,736.50 is: 135,054.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,997 : 87,736.50 = 87,736.50 : x
  2. Step 2: Convert to fraction form
    56,997/87,736.50 = 87,736.50/x
  3. Step 3: Cross multiply
    56,997x = 87,736.50 × 87,736.50
  4. Step 4: Simplify right side
    56,997x = 7,697,693,432.25
  5. Step 5: Solve for x
    x = 7,697,693,432.25/56,997
  6. Step 6: Final answer
    x = 135,054.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.