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Finding the Third Proportional to 73,129.50 and 109,215.84

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Solution

The third proportional to 73,129.50 and 109,215.84 is: 163,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,129.50 : 109,215.84 = 109,215.84 : x
  2. Step 2: Convert to fraction form
    73,129.50/109,215.84 = 109,215.84/x
  3. Step 3: Cross multiply
    73,129.50x = 109,215.84 × 109,215.84
  4. Step 4: Simplify right side
    73,129.50x = 11,928,100,526.02
  5. Step 5: Solve for x
    x = 11,928,100,526.02/73,129.50
  6. Step 6: Final answer
    x = 163,109.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.