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Finding the Third Proportional to 53,213.63 and 81,817.59

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Solution

The third proportional to 53,213.63 and 81,817.59 is: 125,797.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,213.63 : 81,817.59 = 81,817.59 : x
  2. Step 2: Convert to fraction form
    53,213.63/81,817.59 = 81,817.59/x
  3. Step 3: Cross multiply
    53,213.63x = 81,817.59 × 81,817.59
  4. Step 4: Simplify right side
    53,213.63x = 6,694,118,647.04
  5. Step 5: Solve for x
    x = 6,694,118,647.04/53,213.63
  6. Step 6: Final answer
    x = 125,797.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.