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Finding the Third Proportional to 76,650 and 103,005

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Solution

The third proportional to 76,650 and 103,005 is: 138,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,650 : 103,005 = 103,005 : x
  2. Step 2: Convert to fraction form
    76,650/103,005 = 103,005/x
  3. Step 3: Cross multiply
    76,650x = 103,005 × 103,005
  4. Step 4: Simplify right side
    76,650x = 10,610,030,025
  5. Step 5: Solve for x
    x = 10,610,030,025/76,650
  6. Step 6: Final answer
    x = 138,421.79

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.