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Finding the Third Proportional to 45,531 and 92,866.50

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Solution

The third proportional to 45,531 and 92,866.50 is: 189,413.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,531 : 92,866.50 = 92,866.50 : x
  2. Step 2: Convert to fraction form
    45,531/92,866.50 = 92,866.50/x
  3. Step 3: Cross multiply
    45,531x = 92,866.50 × 92,866.50
  4. Step 4: Simplify right side
    45,531x = 8,624,186,822.25
  5. Step 5: Solve for x
    x = 8,624,186,822.25/45,531
  6. Step 6: Final answer
    x = 189,413.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.