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Finding the Third Proportional to 119,413.13 and 174,197.25

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Solution

The third proportional to 119,413.13 and 174,197.25 is: 254,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,413.13 : 174,197.25 = 174,197.25 : x
  2. Step 2: Convert to fraction form
    119,413.13/174,197.25 = 174,197.25/x
  3. Step 3: Cross multiply
    119,413.13x = 174,197.25 × 174,197.25
  4. Step 4: Simplify right side
    119,413.13x = 30,344,681,907.56
  5. Step 5: Solve for x
    x = 30,344,681,907.56/119,413.13
  6. Step 6: Final answer
    x = 254,115.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.