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Finding the Third Proportional to 127,693 and 193,315

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Solution

The third proportional to 127,693 and 193,315 is: 292,660.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,693 : 193,315 = 193,315 : x
  2. Step 2: Convert to fraction form
    127,693/193,315 = 193,315/x
  3. Step 3: Cross multiply
    127,693x = 193,315 × 193,315
  4. Step 4: Simplify right side
    127,693x = 37,370,689,225
  5. Step 5: Solve for x
    x = 37,370,689,225/127,693
  6. Step 6: Final answer
    x = 292,660.44

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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.