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Finding the Third Proportional to 58,744 and 89,495

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Solution

The third proportional to 58,744 and 89,495 is: 136,343.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,744 : 89,495 = 89,495 : x
  2. Step 2: Convert to fraction form
    58,744/89,495 = 89,495/x
  3. Step 3: Cross multiply
    58,744x = 89,495 × 89,495
  4. Step 4: Simplify right side
    58,744x = 8,009,355,025
  5. Step 5: Solve for x
    x = 8,009,355,025/58,744
  6. Step 6: Final answer
    x = 136,343.37

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.