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Finding the Third Proportional to 53,964 and 84,468.75

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Solution

The third proportional to 53,964 and 84,468.75 is: 132,217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,964 : 84,468.75 = 84,468.75 : x
  2. Step 2: Convert to fraction form
    53,964/84,468.75 = 84,468.75/x
  3. Step 3: Cross multiply
    53,964x = 84,468.75 × 84,468.75
  4. Step 4: Simplify right side
    53,964x = 7,134,969,726.56
  5. Step 5: Solve for x
    x = 7,134,969,726.56/53,964
  6. Step 6: Final answer
    x = 132,217.21

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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.