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Finding the Third Proportional to 27,176.50 and 57,300.50

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Solution

The third proportional to 27,176.50 and 57,300.50 is: 120,815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,176.50 : 57,300.50 = 57,300.50 : x
  2. Step 2: Convert to fraction form
    27,176.50/57,300.50 = 57,300.50/x
  3. Step 3: Cross multiply
    27,176.50x = 57,300.50 × 57,300.50
  4. Step 4: Simplify right side
    27,176.50x = 3,283,347,300.25
  5. Step 5: Solve for x
    x = 3,283,347,300.25/27,176.50
  6. Step 6: Final answer
    x = 120,815.68

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.