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Finding the Third Proportional to 160,515 and 174,525.75

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Solution

The third proportional to 160,515 and 174,525.75 is: 189,759.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,515 : 174,525.75 = 174,525.75 : x
  2. Step 2: Convert to fraction form
    160,515/174,525.75 = 174,525.75/x
  3. Step 3: Cross multiply
    160,515x = 174,525.75 × 174,525.75
  4. Step 4: Simplify right side
    160,515x = 30,459,237,413.06
  5. Step 5: Solve for x
    x = 30,459,237,413.06/160,515
  6. Step 6: Final answer
    x = 189,759.45

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.