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Finding the Third Proportional to 81,503.40 and 175,058.09

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Solution

The third proportional to 81,503.40 and 175,058.09 is: 376,000.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,503.40 : 175,058.09 = 175,058.09 : x
  2. Step 2: Convert to fraction form
    81,503.40/175,058.09 = 175,058.09/x
  3. Step 3: Cross multiply
    81,503.40x = 175,058.09 × 175,058.09
  4. Step 4: Simplify right side
    81,503.40x = 30,645,333,452.10
  5. Step 5: Solve for x
    x = 30,645,333,452.10/81,503.40
  6. Step 6: Final answer
    x = 376,000.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.