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Finding the Third Proportional to 45,285.75 and 94,702.50

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Solution

The third proportional to 45,285.75 and 94,702.50 is: 198,043.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,285.75 : 94,702.50 = 94,702.50 : x
  2. Step 2: Convert to fraction form
    45,285.75/94,702.50 = 94,702.50/x
  3. Step 3: Cross multiply
    45,285.75x = 94,702.50 × 94,702.50
  4. Step 4: Simplify right side
    45,285.75x = 8,968,563,506.25
  5. Step 5: Solve for x
    x = 8,968,563,506.25/45,285.75
  6. Step 6: Final answer
    x = 198,043.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.