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Finding the Third Proportional to 59,816 and 86,940

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Solution

The third proportional to 59,816 and 86,940 is: 126,363.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,816 : 86,940 = 86,940 : x
  2. Step 2: Convert to fraction form
    59,816/86,940 = 86,940/x
  3. Step 3: Cross multiply
    59,816x = 86,940 × 86,940
  4. Step 4: Simplify right side
    59,816x = 7,558,563,600
  5. Step 5: Solve for x
    x = 7,558,563,600/59,816
  6. Step 6: Final answer
    x = 126,363.57

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.