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Finding the Third Proportional to 106,724 and 150,159

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Solution

The third proportional to 106,724 and 150,159 is: 211,271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,724 : 150,159 = 150,159 : x
  2. Step 2: Convert to fraction form
    106,724/150,159 = 150,159/x
  3. Step 3: Cross multiply
    106,724x = 150,159 × 150,159
  4. Step 4: Simplify right side
    106,724x = 22,547,725,281
  5. Step 5: Solve for x
    x = 22,547,725,281/106,724
  6. Step 6: Final answer
    x = 211,271.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.