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Finding the Third Proportional to 53,439.75 and 84,615.75

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Solution

The third proportional to 53,439.75 and 84,615.75 is: 133,979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,439.75 : 84,615.75 = 84,615.75 : x
  2. Step 2: Convert to fraction form
    53,439.75/84,615.75 = 84,615.75/x
  3. Step 3: Cross multiply
    53,439.75x = 84,615.75 × 84,615.75
  4. Step 4: Simplify right side
    53,439.75x = 7,159,825,148.06
  5. Step 5: Solve for x
    x = 7,159,825,148.06/53,439.75
  6. Step 6: Final answer
    x = 133,979.39

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.