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Finding the Third Proportional to 100,557.75 and 160,063.50

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Solution

The third proportional to 100,557.75 and 160,063.50 is: 254,782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,557.75 : 160,063.50 = 160,063.50 : x
  2. Step 2: Convert to fraction form
    100,557.75/160,063.50 = 160,063.50/x
  3. Step 3: Cross multiply
    100,557.75x = 160,063.50 × 160,063.50
  4. Step 4: Simplify right side
    100,557.75x = 25,620,324,032.25
  5. Step 5: Solve for x
    x = 25,620,324,032.25/100,557.75
  6. Step 6: Final answer
    x = 254,782.19

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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.