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Finding the Third Proportional to 62,271.75 and 128,974.50

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Solution

The third proportional to 62,271.75 and 128,974.50 is: 267,126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,271.75 : 128,974.50 = 128,974.50 : x
  2. Step 2: Convert to fraction form
    62,271.75/128,974.50 = 128,974.50/x
  3. Step 3: Cross multiply
    62,271.75x = 128,974.50 × 128,974.50
  4. Step 4: Simplify right side
    62,271.75x = 16,634,421,650.25
  5. Step 5: Solve for x
    x = 16,634,421,650.25/62,271.75
  6. Step 6: Final answer
    x = 267,126.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.