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Finding the Third Proportional to 51,030 and 76,592.25

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Solution

The third proportional to 51,030 and 76,592.25 is: 114,959.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,030 : 76,592.25 = 76,592.25 : x
  2. Step 2: Convert to fraction form
    51,030/76,592.25 = 76,592.25/x
  3. Step 3: Cross multiply
    51,030x = 76,592.25 × 76,592.25
  4. Step 4: Simplify right side
    51,030x = 5,866,372,760.06
  5. Step 5: Solve for x
    x = 5,866,372,760.06/51,030
  6. Step 6: Final answer
    x = 114,959.29

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