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Finding the Third Proportional to 127,186.75 and 202,455.25

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Solution

The third proportional to 127,186.75 and 202,455.25 is: 322,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,186.75 : 202,455.25 = 202,455.25 : x
  2. Step 2: Convert to fraction form
    127,186.75/202,455.25 = 202,455.25/x
  3. Step 3: Cross multiply
    127,186.75x = 202,455.25 × 202,455.25
  4. Step 4: Simplify right side
    127,186.75x = 40,988,128,252.56
  5. Step 5: Solve for x
    x = 40,988,128,252.56/127,186.75
  6. Step 6: Final answer
    x = 322,267.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.