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Finding the Third Proportional to 59,664 and 129,842

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Solution

The third proportional to 59,664 and 129,842 is: 282,564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,664 : 129,842 = 129,842 : x
  2. Step 2: Convert to fraction form
    59,664/129,842 = 129,842/x
  3. Step 3: Cross multiply
    59,664x = 129,842 × 129,842
  4. Step 4: Simplify right side
    59,664x = 16,858,944,964
  5. Step 5: Solve for x
    x = 16,858,944,964/59,664
  6. Step 6: Final answer
    x = 282,564.78

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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.