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Finding the Third Proportional to 71,641.25 and 149,097

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Solution

The third proportional to 71,641.25 and 149,097 is: 310,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,641.25 : 149,097 = 149,097 : x
  2. Step 2: Convert to fraction form
    71,641.25/149,097 = 149,097/x
  3. Step 3: Cross multiply
    71,641.25x = 149,097 × 149,097
  4. Step 4: Simplify right side
    71,641.25x = 22,229,915,409
  5. Step 5: Solve for x
    x = 22,229,915,409/71,641.25
  6. Step 6: Final answer
    x = 310,294.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.