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Finding the Third Proportional to 56,062 and 81,935

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Solution

The third proportional to 56,062 and 81,935 is: 119,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,062 : 81,935 = 81,935 : x
  2. Step 2: Convert to fraction form
    56,062/81,935 = 81,935/x
  3. Step 3: Cross multiply
    56,062x = 81,935 × 81,935
  4. Step 4: Simplify right side
    56,062x = 6,713,344,225
  5. Step 5: Solve for x
    x = 6,713,344,225/56,062
  6. Step 6: Final answer
    x = 119,748.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.