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Finding the Third Proportional to 43,970 and 96,264

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Solution

The third proportional to 43,970 and 96,264 is: 210,751.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,970 : 96,264 = 96,264 : x
  2. Step 2: Convert to fraction form
    43,970/96,264 = 96,264/x
  3. Step 3: Cross multiply
    43,970x = 96,264 × 96,264
  4. Step 4: Simplify right side
    43,970x = 9,266,757,696
  5. Step 5: Solve for x
    x = 9,266,757,696/43,970
  6. Step 6: Final answer
    x = 210,751.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.