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Finding the Third Proportional to 72,564.75 and 112,128.75

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Solution

The third proportional to 72,564.75 and 112,128.75 is: 173,263.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,564.75 : 112,128.75 = 112,128.75 : x
  2. Step 2: Convert to fraction form
    72,564.75/112,128.75 = 112,128.75/x
  3. Step 3: Cross multiply
    72,564.75x = 112,128.75 × 112,128.75
  4. Step 4: Simplify right side
    72,564.75x = 12,572,856,576.56
  5. Step 5: Solve for x
    x = 12,572,856,576.56/72,564.75
  6. Step 6: Final answer
    x = 173,263.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.