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Finding the Third Proportional to 75,759 and 118,846.50

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Solution

The third proportional to 75,759 and 118,846.50 is: 186,439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,759 : 118,846.50 = 118,846.50 : x
  2. Step 2: Convert to fraction form
    75,759/118,846.50 = 118,846.50/x
  3. Step 3: Cross multiply
    75,759x = 118,846.50 × 118,846.50
  4. Step 4: Simplify right side
    75,759x = 14,124,490,562.25
  5. Step 5: Solve for x
    x = 14,124,490,562.25/75,759
  6. Step 6: Final answer
    x = 186,439.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.