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Finding the Third Proportional to 55,221.75 and 85,703.06

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Solution

The third proportional to 55,221.75 and 85,703.06 is: 133,009.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,221.75 : 85,703.06 = 85,703.06 : x
  2. Step 2: Convert to fraction form
    55,221.75/85,703.06 = 85,703.06/x
  3. Step 3: Cross multiply
    55,221.75x = 85,703.06 × 85,703.06
  4. Step 4: Simplify right side
    55,221.75x = 7,345,014,921.88
  5. Step 5: Solve for x
    x = 7,345,014,921.88/55,221.75
  6. Step 6: Final answer
    x = 133,009.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.