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Finding the Third Proportional to 53,970.75 and 84,480.75

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Solution

The third proportional to 53,970.75 and 84,480.75 is: 132,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,970.75 : 84,480.75 = 84,480.75 : x
  2. Step 2: Convert to fraction form
    53,970.75/84,480.75 = 84,480.75/x
  3. Step 3: Cross multiply
    53,970.75x = 84,480.75 × 84,480.75
  4. Step 4: Simplify right side
    53,970.75x = 7,136,997,120.56
  5. Step 5: Solve for x
    x = 7,136,997,120.56/53,970.75
  6. Step 6: Final answer
    x = 132,238.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.