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Finding the Third Proportional to 46,226 and 68,659

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Solution

The third proportional to 46,226 and 68,659 is: 101,978.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,226 : 68,659 = 68,659 : x
  2. Step 2: Convert to fraction form
    46,226/68,659 = 68,659/x
  3. Step 3: Cross multiply
    46,226x = 68,659 × 68,659
  4. Step 4: Simplify right side
    46,226x = 4,714,058,281
  5. Step 5: Solve for x
    x = 4,714,058,281/46,226
  6. Step 6: Final answer
    x = 101,978.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.