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Finding the Third Proportional to 73,023.75 and 151,606.13

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Solution

The third proportional to 73,023.75 and 151,606.13 is: 314,752.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,023.75 : 151,606.13 = 151,606.13 : x
  2. Step 2: Convert to fraction form
    73,023.75/151,606.13 = 151,606.13/x
  3. Step 3: Cross multiply
    73,023.75x = 151,606.13 × 151,606.13
  4. Step 4: Simplify right side
    73,023.75x = 22,984,417,137.52
  5. Step 5: Solve for x
    x = 22,984,417,137.52/73,023.75
  6. Step 6: Final answer
    x = 314,752.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.