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Finding the Third Proportional to 45,138 and 93,351

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Solution

The third proportional to 45,138 and 93,351 is: 193,061.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,138 : 93,351 = 93,351 : x
  2. Step 2: Convert to fraction form
    45,138/93,351 = 93,351/x
  3. Step 3: Cross multiply
    45,138x = 93,351 × 93,351
  4. Step 4: Simplify right side
    45,138x = 8,714,409,201
  5. Step 5: Solve for x
    x = 8,714,409,201/45,138
  6. Step 6: Final answer
    x = 193,061.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.