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Finding the Third Proportional to 93,254 and 140,658

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Solution

The third proportional to 93,254 and 140,658 is: 212,158.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,254 : 140,658 = 140,658 : x
  2. Step 2: Convert to fraction form
    93,254/140,658 = 140,658/x
  3. Step 3: Cross multiply
    93,254x = 140,658 × 140,658
  4. Step 4: Simplify right side
    93,254x = 19,784,672,964
  5. Step 5: Solve for x
    x = 19,784,672,964/93,254
  6. Step 6: Final answer
    x = 212,158.97

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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.