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Finding the Third Proportional to 55,420.31 and 114,782.06

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Solution

The third proportional to 55,420.31 and 114,782.06 is: 237,727.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,420.31 : 114,782.06 = 114,782.06 : x
  2. Step 2: Convert to fraction form
    55,420.31/114,782.06 = 114,782.06/x
  3. Step 3: Cross multiply
    55,420.31x = 114,782.06 × 114,782.06
  4. Step 4: Simplify right side
    55,420.31x = 13,174,921,871.75
  5. Step 5: Solve for x
    x = 13,174,921,871.75/55,420.31
  6. Step 6: Final answer
    x = 237,727.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.