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Finding the Third Proportional to 82,228.50 and 111,429

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Solution

The third proportional to 82,228.50 and 111,429 is: 150,999.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,228.50 : 111,429 = 111,429 : x
  2. Step 2: Convert to fraction form
    82,228.50/111,429 = 111,429/x
  3. Step 3: Cross multiply
    82,228.50x = 111,429 × 111,429
  4. Step 4: Simplify right side
    82,228.50x = 12,416,422,041
  5. Step 5: Solve for x
    x = 12,416,422,041/82,228.50
  6. Step 6: Final answer
    x = 150,999.01

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.