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Finding the Third Proportional to 136,873 and 183,088

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Solution

The third proportional to 136,873 and 183,088 is: 244,907.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,873 : 183,088 = 183,088 : x
  2. Step 2: Convert to fraction form
    136,873/183,088 = 183,088/x
  3. Step 3: Cross multiply
    136,873x = 183,088 × 183,088
  4. Step 4: Simplify right side
    136,873x = 33,521,215,744
  5. Step 5: Solve for x
    x = 33,521,215,744/136,873
  6. Step 6: Final answer
    x = 244,907.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.