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Finding the Third Proportional to 82,621.50 and 111,475.69

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Solution

The third proportional to 82,621.50 and 111,475.69 is: 150,406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,621.50 : 111,475.69 = 111,475.69 : x
  2. Step 2: Convert to fraction form
    82,621.50/111,475.69 = 111,475.69/x
  3. Step 3: Cross multiply
    82,621.50x = 111,475.69 × 111,475.69
  4. Step 4: Simplify right side
    82,621.50x = 12,426,828,903.60
  5. Step 5: Solve for x
    x = 12,426,828,903.60/82,621.50
  6. Step 6: Final answer
    x = 150,406.72

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.