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Finding the Third Proportional to 59,210 and 129,112

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Solution

The third proportional to 59,210 and 129,112 is: 281,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,210 : 129,112 = 129,112 : x
  2. Step 2: Convert to fraction form
    59,210/129,112 = 129,112/x
  3. Step 3: Cross multiply
    59,210x = 129,112 × 129,112
  4. Step 4: Simplify right side
    59,210x = 16,669,908,544
  5. Step 5: Solve for x
    x = 16,669,908,544/59,210
  6. Step 6: Final answer
    x = 281,538.74

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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.