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Finding the Third Proportional to 93,096 and 138,960

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Solution

The third proportional to 93,096 and 138,960 is: 207,419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,096 : 138,960 = 138,960 : x
  2. Step 2: Convert to fraction form
    93,096/138,960 = 138,960/x
  3. Step 3: Cross multiply
    93,096x = 138,960 × 138,960
  4. Step 4: Simplify right side
    93,096x = 19,309,881,600
  5. Step 5: Solve for x
    x = 19,309,881,600/93,096
  6. Step 6: Final answer
    x = 207,419.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.