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Finding the Third Proportional to 49,164 and 74,148

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Solution

The third proportional to 49,164 and 74,148 is: 111,828.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,164 : 74,148 = 74,148 : x
  2. Step 2: Convert to fraction form
    49,164/74,148 = 74,148/x
  3. Step 3: Cross multiply
    49,164x = 74,148 × 74,148
  4. Step 4: Simplify right side
    49,164x = 5,497,925,904
  5. Step 5: Solve for x
    x = 5,497,925,904/49,164
  6. Step 6: Final answer
    x = 111,828.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.