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Finding the Third Proportional to 56,269.50 and 121,206

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Solution

The third proportional to 56,269.50 and 121,206 is: 261,080.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,269.50 : 121,206 = 121,206 : x
  2. Step 2: Convert to fraction form
    56,269.50/121,206 = 121,206/x
  3. Step 3: Cross multiply
    56,269.50x = 121,206 × 121,206
  4. Step 4: Simplify right side
    56,269.50x = 14,690,894,436
  5. Step 5: Solve for x
    x = 14,690,894,436/56,269.50
  6. Step 6: Final answer
    x = 261,080.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.