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Finding the Third Proportional to 59,456 and 129,604

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Solution

The third proportional to 59,456 and 129,604 is: 282,514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,456 : 129,604 = 129,604 : x
  2. Step 2: Convert to fraction form
    59,456/129,604 = 129,604/x
  3. Step 3: Cross multiply
    59,456x = 129,604 × 129,604
  4. Step 4: Simplify right side
    59,456x = 16,797,196,816
  5. Step 5: Solve for x
    x = 16,797,196,816/59,456
  6. Step 6: Final answer
    x = 282,514.75

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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.