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Finding the Third Proportional to 53,973.84 and 80,967.09

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Solution

The third proportional to 53,973.84 and 80,967.09 is: 121,460.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,973.84 : 80,967.09 = 80,967.09 : x
  2. Step 2: Convert to fraction form
    53,973.84/80,967.09 = 80,967.09/x
  3. Step 3: Cross multiply
    53,973.84x = 80,967.09 × 80,967.09
  4. Step 4: Simplify right side
    53,973.84x = 6,555,670,270.32
  5. Step 5: Solve for x
    x = 6,555,670,270.32/53,973.84
  6. Step 6: Final answer
    x = 121,460.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.