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Finding the Third Proportional to 77,153 and 167,968

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Solution

The third proportional to 77,153 and 167,968 is: 365,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,153 : 167,968 = 167,968 : x
  2. Step 2: Convert to fraction form
    77,153/167,968 = 167,968/x
  3. Step 3: Cross multiply
    77,153x = 167,968 × 167,968
  4. Step 4: Simplify right side
    77,153x = 28,213,249,024
  5. Step 5: Solve for x
    x = 28,213,249,024/77,153
  6. Step 6: Final answer
    x = 365,679.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.