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Finding the Third Proportional to 53,283.50 and 78,197

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Solution

The third proportional to 53,283.50 and 78,197 is: 114,759.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,283.50 : 78,197 = 78,197 : x
  2. Step 2: Convert to fraction form
    53,283.50/78,197 = 78,197/x
  3. Step 3: Cross multiply
    53,283.50x = 78,197 × 78,197
  4. Step 4: Simplify right side
    53,283.50x = 6,114,770,809
  5. Step 5: Solve for x
    x = 6,114,770,809/53,283.50
  6. Step 6: Final answer
    x = 114,759.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.