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Finding the Third Proportional to 73,784 and 110,730

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Solution

The third proportional to 73,784 and 110,730 is: 166,176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,784 : 110,730 = 110,730 : x
  2. Step 2: Convert to fraction form
    73,784/110,730 = 110,730/x
  3. Step 3: Cross multiply
    73,784x = 110,730 × 110,730
  4. Step 4: Simplify right side
    73,784x = 12,261,132,900
  5. Step 5: Solve for x
    x = 12,261,132,900/73,784
  6. Step 6: Final answer
    x = 166,176.04

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Why These Related Problems?

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