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Finding the Third Proportional to 27,261 and 56,263.50

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Solution

The third proportional to 27,261 and 56,263.50 is: 116,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,261 : 56,263.50 = 56,263.50 : x
  2. Step 2: Convert to fraction form
    27,261/56,263.50 = 56,263.50/x
  3. Step 3: Cross multiply
    27,261x = 56,263.50 × 56,263.50
  4. Step 4: Simplify right side
    27,261x = 3,165,581,432.25
  5. Step 5: Solve for x
    x = 3,165,581,432.25/27,261
  6. Step 6: Final answer
    x = 116,121.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.