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Finding the Third Proportional to 53,085.38 and 80,308.13

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Solution

The third proportional to 53,085.38 and 80,308.13 is: 121,490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,085.38 : 80,308.13 = 80,308.13 : x
  2. Step 2: Convert to fraction form
    53,085.38/80,308.13 = 80,308.13/x
  3. Step 3: Cross multiply
    53,085.38x = 80,308.13 × 80,308.13
  4. Step 4: Simplify right side
    53,085.38x = 6,449,394,941.02
  5. Step 5: Solve for x
    x = 6,449,394,941.02/53,085.38
  6. Step 6: Final answer
    x = 121,490.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.