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Finding the Third Proportional to 91,069.50 and 186,648

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Solution

The third proportional to 91,069.50 and 186,648 is: 382,537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,069.50 : 186,648 = 186,648 : x
  2. Step 2: Convert to fraction form
    91,069.50/186,648 = 186,648/x
  3. Step 3: Cross multiply
    91,069.50x = 186,648 × 186,648
  4. Step 4: Simplify right side
    91,069.50x = 34,837,475,904
  5. Step 5: Solve for x
    x = 34,837,475,904/91,069.50
  6. Step 6: Final answer
    x = 382,537.25

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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.