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Finding the Third Proportional to 127,215.50 and 168,205.50

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Solution

The third proportional to 127,215.50 and 168,205.50 is: 222,402.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,215.50 : 168,205.50 = 168,205.50 : x
  2. Step 2: Convert to fraction form
    127,215.50/168,205.50 = 168,205.50/x
  3. Step 3: Cross multiply
    127,215.50x = 168,205.50 × 168,205.50
  4. Step 4: Simplify right side
    127,215.50x = 28,293,090,230.25
  5. Step 5: Solve for x
    x = 28,293,090,230.25/127,215.50
  6. Step 6: Final answer
    x = 222,402.85

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.