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Finding the Third Proportional to 93,418 and 141,096

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Solution

The third proportional to 93,418 and 141,096 is: 213,107.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,418 : 141,096 = 141,096 : x
  2. Step 2: Convert to fraction form
    93,418/141,096 = 141,096/x
  3. Step 3: Cross multiply
    93,418x = 141,096 × 141,096
  4. Step 4: Simplify right side
    93,418x = 19,908,081,216
  5. Step 5: Solve for x
    x = 19,908,081,216/93,418
  6. Step 6: Final answer
    x = 213,107.55

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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.