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Finding the Third Proportional to 93,696 and 140,448

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Solution

The third proportional to 93,696 and 140,448 is: 210,528.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,696 : 140,448 = 140,448 : x
  2. Step 2: Convert to fraction form
    93,696/140,448 = 140,448/x
  3. Step 3: Cross multiply
    93,696x = 140,448 × 140,448
  4. Step 4: Simplify right side
    93,696x = 19,725,640,704
  5. Step 5: Solve for x
    x = 19,725,640,704/93,696
  6. Step 6: Final answer
    x = 210,528.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.