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Finding the Third Proportional to 59,138 and 129,202

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Solution

The third proportional to 59,138 and 129,202 is: 282,274.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,138 : 129,202 = 129,202 : x
  2. Step 2: Convert to fraction form
    59,138/129,202 = 129,202/x
  3. Step 3: Cross multiply
    59,138x = 129,202 × 129,202
  4. Step 4: Simplify right side
    59,138x = 16,693,156,804
  5. Step 5: Solve for x
    x = 16,693,156,804/59,138
  6. Step 6: Final answer
    x = 282,274.63

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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.