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Finding the Third Proportional to 27,056 and 59,301

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Solution

The third proportional to 27,056 and 59,301 is: 129,975.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,056 : 59,301 = 59,301 : x
  2. Step 2: Convert to fraction form
    27,056/59,301 = 59,301/x
  3. Step 3: Cross multiply
    27,056x = 59,301 × 59,301
  4. Step 4: Simplify right side
    27,056x = 3,516,608,601
  5. Step 5: Solve for x
    x = 3,516,608,601/27,056
  6. Step 6: Final answer
    x = 129,975.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.