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Finding the Third Proportional to 87,273.50 and 190,098.50

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Solution

The third proportional to 87,273.50 and 190,098.50 is: 414,071.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,273.50 : 190,098.50 = 190,098.50 : x
  2. Step 2: Convert to fraction form
    87,273.50/190,098.50 = 190,098.50/x
  3. Step 3: Cross multiply
    87,273.50x = 190,098.50 × 190,098.50
  4. Step 4: Simplify right side
    87,273.50x = 36,137,439,702.25
  5. Step 5: Solve for x
    x = 36,137,439,702.25/87,273.50
  6. Step 6: Final answer
    x = 414,071.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.