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Finding the Third Proportional to 100,565.50 and 160,075

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Solution

The third proportional to 100,565.50 and 160,075 is: 254,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,565.50 : 160,075 = 160,075 : x
  2. Step 2: Convert to fraction form
    100,565.50/160,075 = 160,075/x
  3. Step 3: Cross multiply
    100,565.50x = 160,075 × 160,075
  4. Step 4: Simplify right side
    100,565.50x = 25,624,005,625
  5. Step 5: Solve for x
    x = 25,624,005,625/100,565.50
  6. Step 6: Final answer
    x = 254,799.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.