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Finding the Third Proportional to 122,811 and 186,052.50

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Solution

The third proportional to 122,811 and 186,052.50 is: 281,860.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,811 : 186,052.50 = 186,052.50 : x
  2. Step 2: Convert to fraction form
    122,811/186,052.50 = 186,052.50/x
  3. Step 3: Cross multiply
    122,811x = 186,052.50 × 186,052.50
  4. Step 4: Simplify right side
    122,811x = 34,615,532,756.25
  5. Step 5: Solve for x
    x = 34,615,532,756.25/122,811
  6. Step 6: Final answer
    x = 281,860.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.