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Finding the Third Proportional to 50,360 and 74,148

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Solution

The third proportional to 50,360 and 74,148 is: 109,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,360 : 74,148 = 74,148 : x
  2. Step 2: Convert to fraction form
    50,360/74,148 = 74,148/x
  3. Step 3: Cross multiply
    50,360x = 74,148 × 74,148
  4. Step 4: Simplify right side
    50,360x = 5,497,925,904
  5. Step 5: Solve for x
    x = 5,497,925,904/50,360
  6. Step 6: Final answer
    x = 109,172.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.