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Finding the Third Proportional to 117,333 and 168,141

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Solution

The third proportional to 117,333 and 168,141 is: 240,950.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,333 : 168,141 = 168,141 : x
  2. Step 2: Convert to fraction form
    117,333/168,141 = 168,141/x
  3. Step 3: Cross multiply
    117,333x = 168,141 × 168,141
  4. Step 4: Simplify right side
    117,333x = 28,271,395,881
  5. Step 5: Solve for x
    x = 28,271,395,881/117,333
  6. Step 6: Final answer
    x = 240,950.08

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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.