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Finding the Third Proportional to 55,226 and 85,042

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Solution

The third proportional to 55,226 and 85,042 is: 130,955.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,226 : 85,042 = 85,042 : x
  2. Step 2: Convert to fraction form
    55,226/85,042 = 85,042/x
  3. Step 3: Cross multiply
    55,226x = 85,042 × 85,042
  4. Step 4: Simplify right side
    55,226x = 7,232,141,764
  5. Step 5: Solve for x
    x = 7,232,141,764/55,226
  6. Step 6: Final answer
    x = 130,955.38

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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.