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Finding the Third Proportional to 53,480.25 and 93,837.94

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Solution

The third proportional to 53,480.25 and 93,837.94 is: 164,650.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,480.25 : 93,837.94 = 93,837.94 : x
  2. Step 2: Convert to fraction form
    53,480.25/93,837.94 = 93,837.94/x
  3. Step 3: Cross multiply
    53,480.25x = 93,837.94 × 93,837.94
  4. Step 4: Simplify right side
    53,480.25x = 8,805,558,514.25
  5. Step 5: Solve for x
    x = 8,805,558,514.25/53,480.25
  6. Step 6: Final answer
    x = 164,650.66

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These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.