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Finding the Third Proportional to 127,695 and 193,317

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Solution

The third proportional to 127,695 and 193,317 is: 292,661.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,695 : 193,317 = 193,317 : x
  2. Step 2: Convert to fraction form
    127,695/193,317 = 193,317/x
  3. Step 3: Cross multiply
    127,695x = 193,317 × 193,317
  4. Step 4: Simplify right side
    127,695x = 37,371,462,489
  5. Step 5: Solve for x
    x = 37,371,462,489/127,695
  6. Step 6: Final answer
    x = 292,661.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.