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Finding the Third Proportional to 42,129 and 89,453.25

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Solution

The third proportional to 42,129 and 89,453.25 is: 189,937.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,129 : 89,453.25 = 89,453.25 : x
  2. Step 2: Convert to fraction form
    42,129/89,453.25 = 89,453.25/x
  3. Step 3: Cross multiply
    42,129x = 89,453.25 × 89,453.25
  4. Step 4: Simplify right side
    42,129x = 8,001,883,935.56
  5. Step 5: Solve for x
    x = 8,001,883,935.56/42,129
  6. Step 6: Final answer
    x = 189,937.67

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.