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Finding the Third Proportional to 40,567.50 and 89,127

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Solution

The third proportional to 40,567.50 and 89,127 is: 195,812.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,567.50 : 89,127 = 89,127 : x
  2. Step 2: Convert to fraction form
    40,567.50/89,127 = 89,127/x
  3. Step 3: Cross multiply
    40,567.50x = 89,127 × 89,127
  4. Step 4: Simplify right side
    40,567.50x = 7,943,622,129
  5. Step 5: Solve for x
    x = 7,943,622,129/40,567.50
  6. Step 6: Final answer
    x = 195,812.46

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.