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Finding the Third Proportional to 129,822.75 and 183,890.25

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Solution

The third proportional to 129,822.75 and 183,890.25 is: 260,475.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,822.75 : 183,890.25 = 183,890.25 : x
  2. Step 2: Convert to fraction form
    129,822.75/183,890.25 = 183,890.25/x
  3. Step 3: Cross multiply
    129,822.75x = 183,890.25 × 183,890.25
  4. Step 4: Simplify right side
    129,822.75x = 33,815,624,045.06
  5. Step 5: Solve for x
    x = 33,815,624,045.06/129,822.75
  6. Step 6: Final answer
    x = 260,475.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.