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Finding the Third Proportional to 75,724.75 and 118,800.25

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Solution

The third proportional to 75,724.75 and 118,800.25 is: 186,378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,724.75 : 118,800.25 = 118,800.25 : x
  2. Step 2: Convert to fraction form
    75,724.75/118,800.25 = 118,800.25/x
  3. Step 3: Cross multiply
    75,724.75x = 118,800.25 × 118,800.25
  4. Step 4: Simplify right side
    75,724.75x = 14,113,499,400.06
  5. Step 5: Solve for x
    x = 14,113,499,400.06/75,724.75
  6. Step 6: Final answer
    x = 186,378.95

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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.