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Finding the Third Proportional to 51,409 and 112,659

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Solution

The third proportional to 51,409 and 112,659 is: 246,883.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,409 : 112,659 = 112,659 : x
  2. Step 2: Convert to fraction form
    51,409/112,659 = 112,659/x
  3. Step 3: Cross multiply
    51,409x = 112,659 × 112,659
  4. Step 4: Simplify right side
    51,409x = 12,692,050,281
  5. Step 5: Solve for x
    x = 12,692,050,281/51,409
  6. Step 6: Final answer
    x = 246,883.82

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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.