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Finding the Third Proportional to 47,097 and 71,125.50

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Solution

The third proportional to 47,097 and 71,125.50 is: 107,413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,097 : 71,125.50 = 71,125.50 : x
  2. Step 2: Convert to fraction form
    47,097/71,125.50 = 71,125.50/x
  3. Step 3: Cross multiply
    47,097x = 71,125.50 × 71,125.50
  4. Step 4: Simplify right side
    47,097x = 5,058,836,750.25
  5. Step 5: Solve for x
    x = 5,058,836,750.25/47,097
  6. Step 6: Final answer
    x = 107,413.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.