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Finding the Third Proportional to 59,949 and 86,355

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Solution

The third proportional to 59,949 and 86,355 is: 124,392.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,949 : 86,355 = 86,355 : x
  2. Step 2: Convert to fraction form
    59,949/86,355 = 86,355/x
  3. Step 3: Cross multiply
    59,949x = 86,355 × 86,355
  4. Step 4: Simplify right side
    59,949x = 7,457,186,025
  5. Step 5: Solve for x
    x = 7,457,186,025/59,949
  6. Step 6: Final answer
    x = 124,392.17

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.