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Finding the Third Proportional to 60,180 and 84,131.50

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Solution

The third proportional to 60,180 and 84,131.50 is: 117,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,180 : 84,131.50 = 84,131.50 : x
  2. Step 2: Convert to fraction form
    60,180/84,131.50 = 84,131.50/x
  3. Step 3: Cross multiply
    60,180x = 84,131.50 × 84,131.50
  4. Step 4: Simplify right side
    60,180x = 7,078,109,292.25
  5. Step 5: Solve for x
    x = 7,078,109,292.25/60,180
  6. Step 6: Final answer
    x = 117,615.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.