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Finding the Third Proportional to 127,966 and 193,709

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Solution

The third proportional to 127,966 and 193,709 is: 293,227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,966 : 193,709 = 193,709 : x
  2. Step 2: Convert to fraction form
    127,966/193,709 = 193,709/x
  3. Step 3: Cross multiply
    127,966x = 193,709 × 193,709
  4. Step 4: Simplify right side
    127,966x = 37,523,176,681
  5. Step 5: Solve for x
    x = 37,523,176,681/127,966
  6. Step 6: Final answer
    x = 293,227.71

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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.