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Finding the Third Proportional to 53,658.39 and 84,947.01

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Solution

The third proportional to 53,658.39 and 84,947.01 is: 134,480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,658.39 : 84,947.01 = 84,947.01 : x
  2. Step 2: Convert to fraction form
    53,658.39/84,947.01 = 84,947.01/x
  3. Step 3: Cross multiply
    53,658.39x = 84,947.01 × 84,947.01
  4. Step 4: Simplify right side
    53,658.39x = 7,215,994,468.12
  5. Step 5: Solve for x
    x = 7,215,994,468.12/53,658.39
  6. Step 6: Final answer
    x = 134,480.27

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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.