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Finding the Third Proportional to 100,735 and 136,890

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Solution

The third proportional to 100,735 and 136,890 is: 186,021.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,735 : 136,890 = 136,890 : x
  2. Step 2: Convert to fraction form
    100,735/136,890 = 136,890/x
  3. Step 3: Cross multiply
    100,735x = 136,890 × 136,890
  4. Step 4: Simplify right side
    100,735x = 18,738,872,100
  5. Step 5: Solve for x
    x = 18,738,872,100/100,735
  6. Step 6: Final answer
    x = 186,021.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.