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Finding the Third Proportional to 93,488 and 134,380

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Solution

The third proportional to 93,488 and 134,380 is: 193,158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,488 : 134,380 = 134,380 : x
  2. Step 2: Convert to fraction form
    93,488/134,380 = 134,380/x
  3. Step 3: Cross multiply
    93,488x = 134,380 × 134,380
  4. Step 4: Simplify right side
    93,488x = 18,057,984,400
  5. Step 5: Solve for x
    x = 18,057,984,400/93,488
  6. Step 6: Final answer
    x = 193,158.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.