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Finding the Third Proportional to 93,466 and 140,318

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Solution

The third proportional to 93,466 and 140,318 is: 210,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,466 : 140,318 = 140,318 : x
  2. Step 2: Convert to fraction form
    93,466/140,318 = 140,318/x
  3. Step 3: Cross multiply
    93,466x = 140,318 × 140,318
  4. Step 4: Simplify right side
    93,466x = 19,689,141,124
  5. Step 5: Solve for x
    x = 19,689,141,124/93,466
  6. Step 6: Final answer
    x = 210,655.65

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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.