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Finding the Third Proportional to 73,698.75 and 173,237.63

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Solution

The third proportional to 73,698.75 and 173,237.63 is: 407,215.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,698.75 : 173,237.63 = 173,237.63 : x
  2. Step 2: Convert to fraction form
    73,698.75/173,237.63 = 173,237.63/x
  3. Step 3: Cross multiply
    73,698.75x = 173,237.63 × 173,237.63
  4. Step 4: Simplify right side
    73,698.75x = 30,011,274,715.64
  5. Step 5: Solve for x
    x = 30,011,274,715.64/73,698.75
  6. Step 6: Final answer
    x = 407,215.52

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.