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Finding the Third Proportional to 75,607 and 162,770

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Solution

The third proportional to 75,607 and 162,770 is: 350,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,607 : 162,770 = 162,770 : x
  2. Step 2: Convert to fraction form
    75,607/162,770 = 162,770/x
  3. Step 3: Cross multiply
    75,607x = 162,770 × 162,770
  4. Step 4: Simplify right side
    75,607x = 26,494,072,900
  5. Step 5: Solve for x
    x = 26,494,072,900/75,607
  6. Step 6: Final answer
    x = 350,418.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.