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Finding the Third Proportional to 56,545 and 84,945

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Solution

The third proportional to 56,545 and 84,945 is: 127,609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,545 : 84,945 = 84,945 : x
  2. Step 2: Convert to fraction form
    56,545/84,945 = 84,945/x
  3. Step 3: Cross multiply
    56,545x = 84,945 × 84,945
  4. Step 4: Simplify right side
    56,545x = 7,215,653,025
  5. Step 5: Solve for x
    x = 7,215,653,025/56,545
  6. Step 6: Final answer
    x = 127,609.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.