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Finding the Third Proportional to 56,111 and 86,241

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Solution

The third proportional to 56,111 and 86,241 is: 132,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,111 : 86,241 = 86,241 : x
  2. Step 2: Convert to fraction form
    56,111/86,241 = 86,241/x
  3. Step 3: Cross multiply
    56,111x = 86,241 × 86,241
  4. Step 4: Simplify right side
    56,111x = 7,437,510,081
  5. Step 5: Solve for x
    x = 7,437,510,081/56,111
  6. Step 6: Final answer
    x = 132,549.95

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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.