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Finding the Third Proportional to 100,341 and 136,669.50

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Solution

The third proportional to 100,341 and 136,669.50 is: 186,150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,341 : 136,669.50 = 136,669.50 : x
  2. Step 2: Convert to fraction form
    100,341/136,669.50 = 136,669.50/x
  3. Step 3: Cross multiply
    100,341x = 136,669.50 × 136,669.50
  4. Step 4: Simplify right side
    100,341x = 18,678,552,230.25
  5. Step 5: Solve for x
    x = 18,678,552,230.25/100,341
  6. Step 6: Final answer
    x = 186,150.75

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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.