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Finding the Third Proportional to 127,966.50 and 270,684

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Solution

The third proportional to 127,966.50 and 270,684 is: 572,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,966.50 : 270,684 = 270,684 : x
  2. Step 2: Convert to fraction form
    127,966.50/270,684 = 270,684/x
  3. Step 3: Cross multiply
    127,966.50x = 270,684 × 270,684
  4. Step 4: Simplify right side
    127,966.50x = 73,269,827,856
  5. Step 5: Solve for x
    x = 73,269,827,856/127,966.50
  6. Step 6: Final answer
    x = 572,570.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.