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Finding the Third Proportional to 81,429.50 and 116,229

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Solution

The third proportional to 81,429.50 and 116,229 is: 165,900.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,429.50 : 116,229 = 116,229 : x
  2. Step 2: Convert to fraction form
    81,429.50/116,229 = 116,229/x
  3. Step 3: Cross multiply
    81,429.50x = 116,229 × 116,229
  4. Step 4: Simplify right side
    81,429.50x = 13,509,180,441
  5. Step 5: Solve for x
    x = 13,509,180,441/81,429.50
  6. Step 6: Final answer
    x = 165,900.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.