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Finding the Third Proportional to 73,333.50 and 109,674

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Solution

The third proportional to 73,333.50 and 109,674 is: 164,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,333.50 : 109,674 = 109,674 : x
  2. Step 2: Convert to fraction form
    73,333.50/109,674 = 109,674/x
  3. Step 3: Cross multiply
    73,333.50x = 109,674 × 109,674
  4. Step 4: Simplify right side
    73,333.50x = 12,028,386,276
  5. Step 5: Solve for x
    x = 12,028,386,276/73,333.50
  6. Step 6: Final answer
    x = 164,023.08

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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.