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Finding the Third Proportional to 127,088 and 275,098

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Solution

The third proportional to 127,088 and 275,098 is: 595,484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,088 : 275,098 = 275,098 : x
  2. Step 2: Convert to fraction form
    127,088/275,098 = 275,098/x
  3. Step 3: Cross multiply
    127,088x = 275,098 × 275,098
  4. Step 4: Simplify right side
    127,088x = 75,678,909,604
  5. Step 5: Solve for x
    x = 75,678,909,604/127,088
  6. Step 6: Final answer
    x = 595,484.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.