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Finding the Third Proportional to 25,659 and 56,361

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Solution

The third proportional to 25,659 and 56,361 is: 123,799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,659 : 56,361 = 56,361 : x
  2. Step 2: Convert to fraction form
    25,659/56,361 = 56,361/x
  3. Step 3: Cross multiply
    25,659x = 56,361 × 56,361
  4. Step 4: Simplify right side
    25,659x = 3,176,562,321
  5. Step 5: Solve for x
    x = 3,176,562,321/25,659
  6. Step 6: Final answer
    x = 123,799.15

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.