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Finding the Third Proportional to 91,239 and 186,852

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Solution

The third proportional to 91,239 and 186,852 is: 382,661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,239 : 186,852 = 186,852 : x
  2. Step 2: Convert to fraction form
    91,239/186,852 = 186,852/x
  3. Step 3: Cross multiply
    91,239x = 186,852 × 186,852
  4. Step 4: Simplify right side
    91,239x = 34,913,669,904
  5. Step 5: Solve for x
    x = 34,913,669,904/91,239
  6. Step 6: Final answer
    x = 382,661.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.