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Finding the Third Proportional to 93,437 and 134,311

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Solution

The third proportional to 93,437 and 134,311 is: 193,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,437 : 134,311 = 134,311 : x
  2. Step 2: Convert to fraction form
    93,437/134,311 = 134,311/x
  3. Step 3: Cross multiply
    93,437x = 134,311 × 134,311
  4. Step 4: Simplify right side
    93,437x = 18,039,444,721
  5. Step 5: Solve for x
    x = 18,039,444,721/93,437
  6. Step 6: Final answer
    x = 193,065.32

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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.