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Finding the Third Proportional to 55,411.31 and 114,764.06

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Solution

The third proportional to 55,411.31 and 114,764.06 is: 237,691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,411.31 : 114,764.06 = 114,764.06 : x
  2. Step 2: Convert to fraction form
    55,411.31/114,764.06 = 114,764.06/x
  3. Step 3: Cross multiply
    55,411.31x = 114,764.06 × 114,764.06
  4. Step 4: Simplify right side
    55,411.31x = 13,170,790,041.50
  5. Step 5: Solve for x
    x = 13,170,790,041.50/55,411.31
  6. Step 6: Final answer
    x = 237,691.36

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