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Finding the Third Proportional to 77,751.75 and 163,337.25

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Solution

The third proportional to 77,751.75 and 163,337.25 is: 343,131.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,751.75 : 163,337.25 = 163,337.25 : x
  2. Step 2: Convert to fraction form
    77,751.75/163,337.25 = 163,337.25/x
  3. Step 3: Cross multiply
    77,751.75x = 163,337.25 × 163,337.25
  4. Step 4: Simplify right side
    77,751.75x = 26,679,057,237.56
  5. Step 5: Solve for x
    x = 26,679,057,237.56/77,751.75
  6. Step 6: Final answer
    x = 343,131.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.