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Finding the Third Proportional to 73,494 and 110,341.50

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Solution

The third proportional to 73,494 and 110,341.50 is: 165,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,494 : 110,341.50 = 110,341.50 : x
  2. Step 2: Convert to fraction form
    73,494/110,341.50 = 110,341.50/x
  3. Step 3: Cross multiply
    73,494x = 110,341.50 × 110,341.50
  4. Step 4: Simplify right side
    73,494x = 12,175,246,622.25
  5. Step 5: Solve for x
    x = 12,175,246,622.25/73,494
  6. Step 6: Final answer
    x = 165,663.14

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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.