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Finding the Third Proportional to 72,415.90 and 95,749.59

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Solution

The third proportional to 72,415.90 and 95,749.59 is: 126,601.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,415.90 : 95,749.59 = 95,749.59 : x
  2. Step 2: Convert to fraction form
    72,415.90/95,749.59 = 95,749.59/x
  3. Step 3: Cross multiply
    72,415.90x = 95,749.59 × 95,749.59
  4. Step 4: Simplify right side
    72,415.90x = 9,167,984,703.29
  5. Step 5: Solve for x
    x = 9,167,984,703.29/72,415.90
  6. Step 6: Final answer
    x = 126,601.82

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.