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Finding the Third Proportional to 100,214.50 and 154,102

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Solution

The third proportional to 100,214.50 and 154,102 is: 236,965.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,214.50 : 154,102 = 154,102 : x
  2. Step 2: Convert to fraction form
    100,214.50/154,102 = 154,102/x
  3. Step 3: Cross multiply
    100,214.50x = 154,102 × 154,102
  4. Step 4: Simplify right side
    100,214.50x = 23,747,426,404
  5. Step 5: Solve for x
    x = 23,747,426,404/100,214.50
  6. Step 6: Final answer
    x = 236,965.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.