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Finding the Third Proportional to 56,633.75 and 89,972.75

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Solution

The third proportional to 56,633.75 and 89,972.75 is: 142,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,633.75 : 89,972.75 = 89,972.75 : x
  2. Step 2: Convert to fraction form
    56,633.75/89,972.75 = 89,972.75/x
  3. Step 3: Cross multiply
    56,633.75x = 89,972.75 × 89,972.75
  4. Step 4: Simplify right side
    56,633.75x = 8,095,095,742.56
  5. Step 5: Solve for x
    x = 8,095,095,742.56/56,633.75
  6. Step 6: Final answer
    x = 142,937.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.