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Finding the Third Proportional to 45,102.63 and 71,413.75

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Solution

The third proportional to 45,102.63 and 71,413.75 is: 113,073.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,102.63 : 71,413.75 = 71,413.75 : x
  2. Step 2: Convert to fraction form
    45,102.63/71,413.75 = 71,413.75/x
  3. Step 3: Cross multiply
    45,102.63x = 71,413.75 × 71,413.75
  4. Step 4: Simplify right side
    45,102.63x = 5,099,923,689.06
  5. Step 5: Solve for x
    x = 5,099,923,689.06/45,102.63
  6. Step 6: Final answer
    x = 113,073.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.