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Finding the Third Proportional to 48,271.50 and 112,782.75

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Solution

The third proportional to 48,271.50 and 112,782.75 is: 263,508.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,271.50 : 112,782.75 = 112,782.75 : x
  2. Step 2: Convert to fraction form
    48,271.50/112,782.75 = 112,782.75/x
  3. Step 3: Cross multiply
    48,271.50x = 112,782.75 × 112,782.75
  4. Step 4: Simplify right side
    48,271.50x = 12,719,948,697.56
  5. Step 5: Solve for x
    x = 12,719,948,697.56/48,271.50
  6. Step 6: Final answer
    x = 263,508.46

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.