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Finding the Third Proportional to 56,346.75 and 80,570.63

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Solution

The third proportional to 56,346.75 and 80,570.63 is: 115,208.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,346.75 : 80,570.63 = 80,570.63 : x
  2. Step 2: Convert to fraction form
    56,346.75/80,570.63 = 80,570.63/x
  3. Step 3: Cross multiply
    56,346.75x = 80,570.63 × 80,570.63
  4. Step 4: Simplify right side
    56,346.75x = 6,491,625,612.89
  5. Step 5: Solve for x
    x = 6,491,625,612.89/56,346.75
  6. Step 6: Final answer
    x = 115,208.52

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.