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Finding the Third Proportional to 114,759 and 177,250.50

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Solution

The third proportional to 114,759 and 177,250.50 is: 273,771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,759 : 177,250.50 = 177,250.50 : x
  2. Step 2: Convert to fraction form
    114,759/177,250.50 = 177,250.50/x
  3. Step 3: Cross multiply
    114,759x = 177,250.50 × 177,250.50
  4. Step 4: Simplify right side
    114,759x = 31,417,739,750.25
  5. Step 5: Solve for x
    x = 31,417,739,750.25/114,759
  6. Step 6: Final answer
    x = 273,771.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.