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Finding the Third Proportional to 92,136 and 139,584

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Solution

The third proportional to 92,136 and 139,584 is: 211,466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,136 : 139,584 = 139,584 : x
  2. Step 2: Convert to fraction form
    92,136/139,584 = 139,584/x
  3. Step 3: Cross multiply
    92,136x = 139,584 × 139,584
  4. Step 4: Simplify right side
    92,136x = 19,483,693,056
  5. Step 5: Solve for x
    x = 19,483,693,056/92,136
  6. Step 6: Final answer
    x = 211,466.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.