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Finding the Third Proportional to 139,077 and 284,765.63

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Solution

The third proportional to 139,077 and 284,765.63 is: 583,068.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,077 : 284,765.63 = 284,765.63 : x
  2. Step 2: Convert to fraction form
    139,077/284,765.63 = 284,765.63/x
  3. Step 3: Cross multiply
    139,077x = 284,765.63 × 284,765.63
  4. Step 4: Simplify right side
    139,077x = 81,091,461,181.64
  5. Step 5: Solve for x
    x = 81,091,461,181.64/139,077
  6. Step 6: Final answer
    x = 583,068.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.