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Finding the Third Proportional to 56,373 and 78,814.50

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Solution

The third proportional to 56,373 and 78,814.50 is: 110,189.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,373 : 78,814.50 = 78,814.50 : x
  2. Step 2: Convert to fraction form
    56,373/78,814.50 = 78,814.50/x
  3. Step 3: Cross multiply
    56,373x = 78,814.50 × 78,814.50
  4. Step 4: Simplify right side
    56,373x = 6,211,725,410.25
  5. Step 5: Solve for x
    x = 6,211,725,410.25/56,373
  6. Step 6: Final answer
    x = 110,189.73

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.