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Finding the Third Proportional to 53,254.13 and 80,016.19

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Solution

The third proportional to 53,254.13 and 80,016.19 is: 120,227.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,254.13 : 80,016.19 = 80,016.19 : x
  2. Step 2: Convert to fraction form
    53,254.13/80,016.19 = 80,016.19/x
  3. Step 3: Cross multiply
    53,254.13x = 80,016.19 × 80,016.19
  4. Step 4: Simplify right side
    53,254.13x = 6,402,590,262.04
  5. Step 5: Solve for x
    x = 6,402,590,262.04/53,254.13
  6. Step 6: Final answer
    x = 120,227.12

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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.