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Finding the Third Proportional to 93,664 and 178,688

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Solution

The third proportional to 93,664 and 178,688 is: 340,892.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,664 : 178,688 = 178,688 : x
  2. Step 2: Convert to fraction form
    93,664/178,688 = 178,688/x
  3. Step 3: Cross multiply
    93,664x = 178,688 × 178,688
  4. Step 4: Simplify right side
    93,664x = 31,929,401,344
  5. Step 5: Solve for x
    x = 31,929,401,344/93,664
  6. Step 6: Final answer
    x = 340,892.99

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.