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Finding the Third Proportional to 106,590 and 177,642

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Solution

The third proportional to 106,590 and 177,642 is: 296,056.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,590 : 177,642 = 177,642 : x
  2. Step 2: Convert to fraction form
    106,590/177,642 = 177,642/x
  3. Step 3: Cross multiply
    106,590x = 177,642 × 177,642
  4. Step 4: Simplify right side
    106,590x = 31,556,680,164
  5. Step 5: Solve for x
    x = 31,556,680,164/106,590
  6. Step 6: Final answer
    x = 296,056.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.