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Finding the Third Proportional to 55,243.13 and 85,021.31

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Solution

The third proportional to 55,243.13 and 85,021.31 is: 130,851.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,243.13 : 85,021.31 = 85,021.31 : x
  2. Step 2: Convert to fraction form
    55,243.13/85,021.31 = 85,021.31/x
  3. Step 3: Cross multiply
    55,243.13x = 85,021.31 × 85,021.31
  4. Step 4: Simplify right side
    55,243.13x = 7,228,623,579.22
  5. Step 5: Solve for x
    x = 7,228,623,579.22/55,243.13
  6. Step 6: Final answer
    x = 130,851.10

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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.