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Finding the Third Proportional to 86,932.50 and 183,361

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Solution

The third proportional to 86,932.50 and 183,361 is: 386,751.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,932.50 : 183,361 = 183,361 : x
  2. Step 2: Convert to fraction form
    86,932.50/183,361 = 183,361/x
  3. Step 3: Cross multiply
    86,932.50x = 183,361 × 183,361
  4. Step 4: Simplify right side
    86,932.50x = 33,621,256,321
  5. Step 5: Solve for x
    x = 33,621,256,321/86,932.50
  6. Step 6: Final answer
    x = 386,751.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.