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Finding the Third Proportional to 83,136 and 177,968

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Solution

The third proportional to 83,136 and 177,968 is: 380,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,136 : 177,968 = 177,968 : x
  2. Step 2: Convert to fraction form
    83,136/177,968 = 177,968/x
  3. Step 3: Cross multiply
    83,136x = 177,968 × 177,968
  4. Step 4: Simplify right side
    83,136x = 31,672,609,024
  5. Step 5: Solve for x
    x = 31,672,609,024/83,136
  6. Step 6: Final answer
    x = 380,973.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.