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Finding the Third Proportional to 48,271.50 and 76,775.25

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Solution

The third proportional to 48,271.50 and 76,775.25 is: 122,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,271.50 : 76,775.25 = 76,775.25 : x
  2. Step 2: Convert to fraction form
    48,271.50/76,775.25 = 76,775.25/x
  3. Step 3: Cross multiply
    48,271.50x = 76,775.25 × 76,775.25
  4. Step 4: Simplify right side
    48,271.50x = 5,894,439,012.56
  5. Step 5: Solve for x
    x = 5,894,439,012.56/48,271.50
  6. Step 6: Final answer
    x = 122,110.13

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.