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Finding the Third Proportional to 54,321 and 81,145.50

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Solution

The third proportional to 54,321 and 81,145.50 is: 121,216.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,321 : 81,145.50 = 81,145.50 : x
  2. Step 2: Convert to fraction form
    54,321/81,145.50 = 81,145.50/x
  3. Step 3: Cross multiply
    54,321x = 81,145.50 × 81,145.50
  4. Step 4: Simplify right side
    54,321x = 6,584,592,170.25
  5. Step 5: Solve for x
    x = 6,584,592,170.25/54,321
  6. Step 6: Final answer
    x = 121,216.33

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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.