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Finding the Third Proportional to 127,657.69 and 275,010.19

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Solution

The third proportional to 127,657.69 and 275,010.19 is: 592,448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,657.69 : 275,010.19 = 275,010.19 : x
  2. Step 2: Convert to fraction form
    127,657.69/275,010.19 = 275,010.19/x
  3. Step 3: Cross multiply
    127,657.69x = 275,010.19 × 275,010.19
  4. Step 4: Simplify right side
    127,657.69x = 75,630,603,228.79
  5. Step 5: Solve for x
    x = 75,630,603,228.79/127,657.69
  6. Step 6: Final answer
    x = 592,448.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.