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Finding the Third Proportional to 105,413.48 and 163,047.09

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Solution

The third proportional to 105,413.48 and 163,047.09 is: 252,191.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,413.48 : 163,047.09 = 163,047.09 : x
  2. Step 2: Convert to fraction form
    105,413.48/163,047.09 = 163,047.09/x
  3. Step 3: Cross multiply
    105,413.48x = 163,047.09 × 163,047.09
  4. Step 4: Simplify right side
    105,413.48x = 26,584,354,780.32
  5. Step 5: Solve for x
    x = 26,584,354,780.32/105,413.48
  6. Step 6: Final answer
    x = 252,191.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.