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Finding the Third Proportional to 96,970.50 and 202,725

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Solution

The third proportional to 96,970.50 and 202,725 is: 423,813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,970.50 : 202,725 = 202,725 : x
  2. Step 2: Convert to fraction form
    96,970.50/202,725 = 202,725/x
  3. Step 3: Cross multiply
    96,970.50x = 202,725 × 202,725
  4. Step 4: Simplify right side
    96,970.50x = 41,097,425,625
  5. Step 5: Solve for x
    x = 41,097,425,625/96,970.50
  6. Step 6: Final answer
    x = 423,813.69

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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.