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Finding the Third Proportional to 48,235 and 74,175

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Solution

The third proportional to 48,235 and 74,175 is: 114,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,235 : 74,175 = 74,175 : x
  2. Step 2: Convert to fraction form
    48,235/74,175 = 74,175/x
  3. Step 3: Cross multiply
    48,235x = 74,175 × 74,175
  4. Step 4: Simplify right side
    48,235x = 5,501,930,625
  5. Step 5: Solve for x
    x = 5,501,930,625/48,235
  6. Step 6: Final answer
    x = 114,065.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.