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Finding the Third Proportional to 88,852 and 133,534

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Solution

The third proportional to 88,852 and 133,534 is: 200,685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,852 : 133,534 = 133,534 : x
  2. Step 2: Convert to fraction form
    88,852/133,534 = 133,534/x
  3. Step 3: Cross multiply
    88,852x = 133,534 × 133,534
  4. Step 4: Simplify right side
    88,852x = 17,831,329,156
  5. Step 5: Solve for x
    x = 17,831,329,156/88,852
  6. Step 6: Final answer
    x = 200,685.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.