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Finding the Third Proportional to 59,653 and 129,802

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Solution

The third proportional to 59,653 and 129,802 is: 282,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,653 : 129,802 = 129,802 : x
  2. Step 2: Convert to fraction form
    59,653/129,802 = 129,802/x
  3. Step 3: Cross multiply
    59,653x = 129,802 × 129,802
  4. Step 4: Simplify right side
    59,653x = 16,848,559,204
  5. Step 5: Solve for x
    x = 16,848,559,204/59,653
  6. Step 6: Final answer
    x = 282,442.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.