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Finding the Third Proportional to 48,196 and 74,173

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Solution

The third proportional to 48,196 and 74,173 is: 114,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,196 : 74,173 = 74,173 : x
  2. Step 2: Convert to fraction form
    48,196/74,173 = 74,173/x
  3. Step 3: Cross multiply
    48,196x = 74,173 × 74,173
  4. Step 4: Simplify right side
    48,196x = 5,501,633,929
  5. Step 5: Solve for x
    x = 5,501,633,929/48,196
  6. Step 6: Final answer
    x = 114,151.26

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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.