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Finding the Third Proportional to 54,472.50 and 84,170.25

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Solution

The third proportional to 54,472.50 and 84,170.25 is: 130,058.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,472.50 : 84,170.25 = 84,170.25 : x
  2. Step 2: Convert to fraction form
    54,472.50/84,170.25 = 84,170.25/x
  3. Step 3: Cross multiply
    54,472.50x = 84,170.25 × 84,170.25
  4. Step 4: Simplify right side
    54,472.50x = 7,084,630,985.06
  5. Step 5: Solve for x
    x = 7,084,630,985.06/54,472.50
  6. Step 6: Final answer
    x = 130,058.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.