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Finding the Third Proportional to 73,937.50 and 110,780

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Solution

The third proportional to 73,937.50 and 110,780 is: 165,980.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,937.50 : 110,780 = 110,780 : x
  2. Step 2: Convert to fraction form
    73,937.50/110,780 = 110,780/x
  3. Step 3: Cross multiply
    73,937.50x = 110,780 × 110,780
  4. Step 4: Simplify right side
    73,937.50x = 12,272,208,400
  5. Step 5: Solve for x
    x = 12,272,208,400/73,937.50
  6. Step 6: Final answer
    x = 165,980.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.