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Finding the Third Proportional to 93,635 and 146,728

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Solution

The third proportional to 93,635 and 146,728 is: 229,925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,635 : 146,728 = 146,728 : x
  2. Step 2: Convert to fraction form
    93,635/146,728 = 146,728/x
  3. Step 3: Cross multiply
    93,635x = 146,728 × 146,728
  4. Step 4: Simplify right side
    93,635x = 21,529,105,984
  5. Step 5: Solve for x
    x = 21,529,105,984/93,635
  6. Step 6: Final answer
    x = 229,925.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.