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Finding the Third Proportional to 73,590 and 113,920

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Solution

The third proportional to 73,590 and 113,920 is: 176,352.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,590 : 113,920 = 113,920 : x
  2. Step 2: Convert to fraction form
    73,590/113,920 = 113,920/x
  3. Step 3: Cross multiply
    73,590x = 113,920 × 113,920
  4. Step 4: Simplify right side
    73,590x = 12,977,766,400
  5. Step 5: Solve for x
    x = 12,977,766,400/73,590
  6. Step 6: Final answer
    x = 176,352.31

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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.