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Finding the Third Proportional to 73,811.25 and 114,509.95

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Solution

The third proportional to 73,811.25 and 114,509.95 is: 177,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,811.25 : 114,509.95 = 114,509.95 : x
  2. Step 2: Convert to fraction form
    73,811.25/114,509.95 = 114,509.95/x
  3. Step 3: Cross multiply
    73,811.25x = 114,509.95 × 114,509.95
  4. Step 4: Simplify right side
    73,811.25x = 13,112,529,364.69
  5. Step 5: Solve for x
    x = 13,112,529,364.69/73,811.25
  6. Step 6: Final answer
    x = 177,649.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.