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Finding the Third Proportional to 117,321 and 168,123

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Solution

The third proportional to 117,321 and 168,123 is: 240,923.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,321 : 168,123 = 168,123 : x
  2. Step 2: Convert to fraction form
    117,321/168,123 = 168,123/x
  3. Step 3: Cross multiply
    117,321x = 168,123 × 168,123
  4. Step 4: Simplify right side
    117,321x = 28,265,343,129
  5. Step 5: Solve for x
    x = 28,265,343,129/117,321
  6. Step 6: Final answer
    x = 240,923.14

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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.