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Finding the Third Proportional to 57,688 and 119,344

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Solution

The third proportional to 57,688 and 119,344 is: 246,896.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,688 : 119,344 = 119,344 : x
  2. Step 2: Convert to fraction form
    57,688/119,344 = 119,344/x
  3. Step 3: Cross multiply
    57,688x = 119,344 × 119,344
  4. Step 4: Simplify right side
    57,688x = 14,242,990,336
  5. Step 5: Solve for x
    x = 14,242,990,336/57,688
  6. Step 6: Final answer
    x = 246,896.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.