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Finding the Third Proportional to 97,136 and 154,456

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Solution

The third proportional to 97,136 and 154,456 is: 245,600.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,136 : 154,456 = 154,456 : x
  2. Step 2: Convert to fraction form
    97,136/154,456 = 154,456/x
  3. Step 3: Cross multiply
    97,136x = 154,456 × 154,456
  4. Step 4: Simplify right side
    97,136x = 23,856,655,936
  5. Step 5: Solve for x
    x = 23,856,655,936/97,136
  6. Step 6: Final answer
    x = 245,600.56

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.