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Finding the Third Proportional to 93,706 and 149,873

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Solution

The third proportional to 93,706 and 149,873 is: 239,706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,706 : 149,873 = 149,873 : x
  2. Step 2: Convert to fraction form
    93,706/149,873 = 149,873/x
  3. Step 3: Cross multiply
    93,706x = 149,873 × 149,873
  4. Step 4: Simplify right side
    93,706x = 22,461,916,129
  5. Step 5: Solve for x
    x = 22,461,916,129/93,706
  6. Step 6: Final answer
    x = 239,706.27

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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.