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Finding the Third Proportional to 105,492 and 150,746.25

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Solution

The third proportional to 105,492 and 150,746.25 is: 215,413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,492 : 150,746.25 = 150,746.25 : x
  2. Step 2: Convert to fraction form
    105,492/150,746.25 = 150,746.25/x
  3. Step 3: Cross multiply
    105,492x = 150,746.25 × 150,746.25
  4. Step 4: Simplify right side
    105,492x = 22,724,431,889.06
  5. Step 5: Solve for x
    x = 22,724,431,889.06/105,492
  6. Step 6: Final answer
    x = 215,413.79

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.