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Finding the Third Proportional to 106,595 and 177,650

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Solution

The third proportional to 106,595 and 177,650 is: 296,069.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,595 : 177,650 = 177,650 : x
  2. Step 2: Convert to fraction form
    106,595/177,650 = 177,650/x
  3. Step 3: Cross multiply
    106,595x = 177,650 × 177,650
  4. Step 4: Simplify right side
    106,595x = 31,559,522,500
  5. Step 5: Solve for x
    x = 31,559,522,500/106,595
  6. Step 6: Final answer
    x = 296,069.45

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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.