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Finding the Third Proportional to 53,478 and 84,111.75

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Solution

The third proportional to 53,478 and 84,111.75 is: 132,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,478 : 84,111.75 = 84,111.75 : x
  2. Step 2: Convert to fraction form
    53,478/84,111.75 = 84,111.75/x
  3. Step 3: Cross multiply
    53,478x = 84,111.75 × 84,111.75
  4. Step 4: Simplify right side
    53,478x = 7,074,786,488.06
  5. Step 5: Solve for x
    x = 7,074,786,488.06/53,478
  6. Step 6: Final answer
    x = 132,293.40

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