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Finding the Third Proportional to 81,664.50 and 122,497.50

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Solution

The third proportional to 81,664.50 and 122,497.50 is: 183,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,664.50 : 122,497.50 = 122,497.50 : x
  2. Step 2: Convert to fraction form
    81,664.50/122,497.50 = 122,497.50/x
  3. Step 3: Cross multiply
    81,664.50x = 122,497.50 × 122,497.50
  4. Step 4: Simplify right side
    81,664.50x = 15,005,637,506.25
  5. Step 5: Solve for x
    x = 15,005,637,506.25/81,664.50
  6. Step 6: Final answer
    x = 183,747.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.