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Finding the Third Proportional to 27,439 and 59,153

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Solution

The third proportional to 27,439 and 59,153 is: 127,522.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,439 : 59,153 = 59,153 : x
  2. Step 2: Convert to fraction form
    27,439/59,153 = 59,153/x
  3. Step 3: Cross multiply
    27,439x = 59,153 × 59,153
  4. Step 4: Simplify right side
    27,439x = 3,499,077,409
  5. Step 5: Solve for x
    x = 3,499,077,409/27,439
  6. Step 6: Final answer
    x = 127,522.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.