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Finding the Third Proportional to 82,245 and 123,033

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Solution

The third proportional to 82,245 and 123,033 is: 184,049.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,245 : 123,033 = 123,033 : x
  2. Step 2: Convert to fraction form
    82,245/123,033 = 123,033/x
  3. Step 3: Cross multiply
    82,245x = 123,033 × 123,033
  4. Step 4: Simplify right side
    82,245x = 15,137,119,089
  5. Step 5: Solve for x
    x = 15,137,119,089/82,245
  6. Step 6: Final answer
    x = 184,049.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.