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Finding the Third Proportional to 93,695 and 149,858

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Solution

The third proportional to 93,695 and 149,858 is: 239,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,695 : 149,858 = 149,858 : x
  2. Step 2: Convert to fraction form
    93,695/149,858 = 149,858/x
  3. Step 3: Cross multiply
    93,695x = 149,858 × 149,858
  4. Step 4: Simplify right side
    93,695x = 22,457,420,164
  5. Step 5: Solve for x
    x = 22,457,420,164/93,695
  6. Step 6: Final answer
    x = 239,686.43

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.