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Finding the Third Proportional to 48,878 and 76,235

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Solution

The third proportional to 48,878 and 76,235 is: 118,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,878 : 76,235 = 76,235 : x
  2. Step 2: Convert to fraction form
    48,878/76,235 = 76,235/x
  3. Step 3: Cross multiply
    48,878x = 76,235 × 76,235
  4. Step 4: Simplify right side
    48,878x = 5,811,775,225
  5. Step 5: Solve for x
    x = 5,811,775,225/48,878
  6. Step 6: Final answer
    x = 118,903.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.