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Finding the Third Proportional to 51,974 and 112,148

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Solution

The third proportional to 51,974 and 112,148 is: 241,989.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,974 : 112,148 = 112,148 : x
  2. Step 2: Convert to fraction form
    51,974/112,148 = 112,148/x
  3. Step 3: Cross multiply
    51,974x = 112,148 × 112,148
  4. Step 4: Simplify right side
    51,974x = 12,577,173,904
  5. Step 5: Solve for x
    x = 12,577,173,904/51,974
  6. Step 6: Final answer
    x = 241,989.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.