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Finding the Third Proportional to 54,188 and 81,284

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Solution

The third proportional to 54,188 and 81,284 is: 121,929.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,188 : 81,284 = 81,284 : x
  2. Step 2: Convert to fraction form
    54,188/81,284 = 81,284/x
  3. Step 3: Cross multiply
    54,188x = 81,284 × 81,284
  4. Step 4: Simplify right side
    54,188x = 6,607,088,656
  5. Step 5: Solve for x
    x = 6,607,088,656/54,188
  6. Step 6: Final answer
    x = 121,929.00

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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.