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Finding the Third Proportional to 73,587 and 113,918

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Solution

The third proportional to 73,587 and 113,918 is: 176,353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,587 : 113,918 = 113,918 : x
  2. Step 2: Convert to fraction form
    73,587/113,918 = 113,918/x
  3. Step 3: Cross multiply
    73,587x = 113,918 × 113,918
  4. Step 4: Simplify right side
    73,587x = 12,977,310,724
  5. Step 5: Solve for x
    x = 12,977,310,724/73,587
  6. Step 6: Final answer
    x = 176,353.31

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