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Finding the Third Proportional to 103,111.50 and 154,941

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Solution

The third proportional to 103,111.50 and 154,941 is: 232,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,111.50 : 154,941 = 154,941 : x
  2. Step 2: Convert to fraction form
    103,111.50/154,941 = 154,941/x
  3. Step 3: Cross multiply
    103,111.50x = 154,941 × 154,941
  4. Step 4: Simplify right side
    103,111.50x = 24,006,713,481
  5. Step 5: Solve for x
    x = 24,006,713,481/103,111.50
  6. Step 6: Final answer
    x = 232,822.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.