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Finding the Third Proportional to 66,106.13 and 106,413.75

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Solution

The third proportional to 66,106.13 and 106,413.75 is: 171,298.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,106.13 : 106,413.75 = 106,413.75 : x
  2. Step 2: Convert to fraction form
    66,106.13/106,413.75 = 106,413.75/x
  3. Step 3: Cross multiply
    66,106.13x = 106,413.75 × 106,413.75
  4. Step 4: Simplify right side
    66,106.13x = 11,323,886,189.06
  5. Step 5: Solve for x
    x = 11,323,886,189.06/66,106.13
  6. Step 6: Final answer
    x = 171,298.59

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.