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Finding the Third Proportional to 127,068 and 270,570

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Solution

The third proportional to 127,068 and 270,570 is: 576,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,068 : 270,570 = 270,570 : x
  2. Step 2: Convert to fraction form
    127,068/270,570 = 270,570/x
  3. Step 3: Cross multiply
    127,068x = 270,570 × 270,570
  4. Step 4: Simplify right side
    127,068x = 73,208,124,900
  5. Step 5: Solve for x
    x = 73,208,124,900/127,068
  6. Step 6: Final answer
    x = 576,133.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.