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Finding the Third Proportional to 71,840.25 and 156,802.25

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Solution

The third proportional to 71,840.25 and 156,802.25 is: 342,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,840.25 : 156,802.25 = 156,802.25 : x
  2. Step 2: Convert to fraction form
    71,840.25/156,802.25 = 156,802.25/x
  3. Step 3: Cross multiply
    71,840.25x = 156,802.25 × 156,802.25
  4. Step 4: Simplify right side
    71,840.25x = 24,586,945,605.06
  5. Step 5: Solve for x
    x = 24,586,945,605.06/71,840.25
  6. Step 6: Final answer
    x = 342,244.71

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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.