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Finding the Third Proportional to 59,916 and 79,506

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Solution

The third proportional to 59,916 and 79,506 is: 105,501.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,916 : 79,506 = 79,506 : x
  2. Step 2: Convert to fraction form
    59,916/79,506 = 79,506/x
  3. Step 3: Cross multiply
    59,916x = 79,506 × 79,506
  4. Step 4: Simplify right side
    59,916x = 6,321,204,036
  5. Step 5: Solve for x
    x = 6,321,204,036/59,916
  6. Step 6: Final answer
    x = 105,501.10

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.