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Finding the Third Proportional to 53,854.88 and 84,275.44

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Solution

The third proportional to 53,854.88 and 84,275.44 is: 131,879.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,854.88 : 84,275.44 = 84,275.44 : x
  2. Step 2: Convert to fraction form
    53,854.88/84,275.44 = 84,275.44/x
  3. Step 3: Cross multiply
    53,854.88x = 84,275.44 × 84,275.44
  4. Step 4: Simplify right side
    53,854.88x = 7,102,349,365.82
  5. Step 5: Solve for x
    x = 7,102,349,365.82/53,854.88
  6. Step 6: Final answer
    x = 131,879.41

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.