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Finding the Third Proportional to 59,056 and 79,561

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Solution

The third proportional to 59,056 and 79,561 is: 107,185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,056 : 79,561 = 79,561 : x
  2. Step 2: Convert to fraction form
    59,056/79,561 = 79,561/x
  3. Step 3: Cross multiply
    59,056x = 79,561 × 79,561
  4. Step 4: Simplify right side
    59,056x = 6,329,952,721
  5. Step 5: Solve for x
    x = 6,329,952,721/59,056
  6. Step 6: Final answer
    x = 107,185.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.