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Finding the Third Proportional to 55,817 and 78,074.50

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Solution

The third proportional to 55,817 and 78,074.50 is: 109,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,817 : 78,074.50 = 78,074.50 : x
  2. Step 2: Convert to fraction form
    55,817/78,074.50 = 78,074.50/x
  3. Step 3: Cross multiply
    55,817x = 78,074.50 × 78,074.50
  4. Step 4: Simplify right side
    55,817x = 6,095,627,550.25
  5. Step 5: Solve for x
    x = 6,095,627,550.25/55,817
  6. Step 6: Final answer
    x = 109,207.37

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Why These Related Problems?

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