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Finding the Third Proportional to 117,340 and 168,148

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Solution

The third proportional to 117,340 and 168,148 is: 240,955.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,340 : 168,148 = 168,148 : x
  2. Step 2: Convert to fraction form
    117,340/168,148 = 168,148/x
  3. Step 3: Cross multiply
    117,340x = 168,148 × 168,148
  4. Step 4: Simplify right side
    117,340x = 28,273,749,904
  5. Step 5: Solve for x
    x = 28,273,749,904/117,340
  6. Step 6: Final answer
    x = 240,955.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.