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Finding the Third Proportional to 75,413.75 and 148,924

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Solution

The third proportional to 75,413.75 and 148,924 is: 294,089.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,413.75 : 148,924 = 148,924 : x
  2. Step 2: Convert to fraction form
    75,413.75/148,924 = 148,924/x
  3. Step 3: Cross multiply
    75,413.75x = 148,924 × 148,924
  4. Step 4: Simplify right side
    75,413.75x = 22,178,357,776
  5. Step 5: Solve for x
    x = 22,178,357,776/75,413.75
  6. Step 6: Final answer
    x = 294,089.05

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.