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Finding the Third Proportional to 53,948.25 and 84,627.75

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Solution

The third proportional to 53,948.25 and 84,627.75 is: 132,754.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,948.25 : 84,627.75 = 84,627.75 : x
  2. Step 2: Convert to fraction form
    53,948.25/84,627.75 = 84,627.75/x
  3. Step 3: Cross multiply
    53,948.25x = 84,627.75 × 84,627.75
  4. Step 4: Simplify right side
    53,948.25x = 7,161,856,070.06
  5. Step 5: Solve for x
    x = 7,161,856,070.06/53,948.25
  6. Step 6: Final answer
    x = 132,754.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.