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Finding the Third Proportional to 57,118.50 and 125,172

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Solution

The third proportional to 57,118.50 and 125,172 is: 274,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,118.50 : 125,172 = 125,172 : x
  2. Step 2: Convert to fraction form
    57,118.50/125,172 = 125,172/x
  3. Step 3: Cross multiply
    57,118.50x = 125,172 × 125,172
  4. Step 4: Simplify right side
    57,118.50x = 15,668,029,584
  5. Step 5: Solve for x
    x = 15,668,029,584/57,118.50
  6. Step 6: Final answer
    x = 274,307.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.