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Finding the Third Proportional to 49,703.25 and 106,822.50

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Solution

The third proportional to 49,703.25 and 106,822.50 is: 229,583.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,703.25 : 106,822.50 = 106,822.50 : x
  2. Step 2: Convert to fraction form
    49,703.25/106,822.50 = 106,822.50/x
  3. Step 3: Cross multiply
    49,703.25x = 106,822.50 × 106,822.50
  4. Step 4: Simplify right side
    49,703.25x = 11,411,046,506.25
  5. Step 5: Solve for x
    x = 11,411,046,506.25/49,703.25
  6. Step 6: Final answer
    x = 229,583.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.