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Finding the Third Proportional to 109,159.50 and 164,145

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Solution

The third proportional to 109,159.50 and 164,145 is: 246,827.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,159.50 : 164,145 = 164,145 : x
  2. Step 2: Convert to fraction form
    109,159.50/164,145 = 164,145/x
  3. Step 3: Cross multiply
    109,159.50x = 164,145 × 164,145
  4. Step 4: Simplify right side
    109,159.50x = 26,943,581,025
  5. Step 5: Solve for x
    x = 26,943,581,025/109,159.50
  6. Step 6: Final answer
    x = 246,827.63

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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.