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Finding the Third Proportional to 77,598 and 170,100

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Solution

The third proportional to 77,598 and 170,100 is: 372,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,598 : 170,100 = 170,100 : x
  2. Step 2: Convert to fraction form
    77,598/170,100 = 170,100/x
  3. Step 3: Cross multiply
    77,598x = 170,100 × 170,100
  4. Step 4: Simplify right side
    77,598x = 28,934,010,000
  5. Step 5: Solve for x
    x = 28,934,010,000/77,598
  6. Step 6: Final answer
    x = 372,870.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.