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Finding the Third Proportional to 45,718 and 68,577

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Solution

The third proportional to 45,718 and 68,577 is: 102,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,718 : 68,577 = 68,577 : x
  2. Step 2: Convert to fraction form
    45,718/68,577 = 68,577/x
  3. Step 3: Cross multiply
    45,718x = 68,577 × 68,577
  4. Step 4: Simplify right side
    45,718x = 4,702,804,929
  5. Step 5: Solve for x
    x = 4,702,804,929/45,718
  6. Step 6: Final answer
    x = 102,865.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.