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Finding the Third Proportional to 56,690.50 and 81,950.50

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Solution

The third proportional to 56,690.50 and 81,950.50 is: 118,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,690.50 : 81,950.50 = 81,950.50 : x
  2. Step 2: Convert to fraction form
    56,690.50/81,950.50 = 81,950.50/x
  3. Step 3: Cross multiply
    56,690.50x = 81,950.50 × 81,950.50
  4. Step 4: Simplify right side
    56,690.50x = 6,715,884,450.25
  5. Step 5: Solve for x
    x = 6,715,884,450.25/56,690.50
  6. Step 6: Final answer
    x = 118,465.78

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.