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Finding the Third Proportional to 59,457 and 129,606

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Solution

The third proportional to 59,457 and 129,606 is: 282,518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,457 : 129,606 = 129,606 : x
  2. Step 2: Convert to fraction form
    59,457/129,606 = 129,606/x
  3. Step 3: Cross multiply
    59,457x = 129,606 × 129,606
  4. Step 4: Simplify right side
    59,457x = 16,797,715,236
  5. Step 5: Solve for x
    x = 16,797,715,236/59,457
  6. Step 6: Final answer
    x = 282,518.71

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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.