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Finding the Third Proportional to 59,208 and 129,108

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Solution

The third proportional to 59,208 and 129,108 is: 281,530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,208 : 129,108 = 129,108 : x
  2. Step 2: Convert to fraction form
    59,208/129,108 = 129,108/x
  3. Step 3: Cross multiply
    59,208x = 129,108 × 129,108
  4. Step 4: Simplify right side
    59,208x = 16,668,875,664
  5. Step 5: Solve for x
    x = 16,668,875,664/59,208
  6. Step 6: Final answer
    x = 281,530.80

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Why These Related Problems?

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