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Finding the Third Proportional to 106,975.50 and 165,075

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Solution

The third proportional to 106,975.50 and 165,075 is: 254,728.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,975.50 : 165,075 = 165,075 : x
  2. Step 2: Convert to fraction form
    106,975.50/165,075 = 165,075/x
  3. Step 3: Cross multiply
    106,975.50x = 165,075 × 165,075
  4. Step 4: Simplify right side
    106,975.50x = 27,249,755,625
  5. Step 5: Solve for x
    x = 27,249,755,625/106,975.50
  6. Step 6: Final answer
    x = 254,728.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.