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Finding the Third Proportional to 79,308 and 127,506

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Solution

The third proportional to 79,308 and 127,506 is: 204,995.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,308 : 127,506 = 127,506 : x
  2. Step 2: Convert to fraction form
    79,308/127,506 = 127,506/x
  3. Step 3: Cross multiply
    79,308x = 127,506 × 127,506
  4. Step 4: Simplify right side
    79,308x = 16,257,780,036
  5. Step 5: Solve for x
    x = 16,257,780,036/79,308
  6. Step 6: Final answer
    x = 204,995.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.