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Finding the Third Proportional to 34,206.05 and 66,754.76

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Solution

The third proportional to 34,206.05 and 66,754.76 is: 130,275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,206.05 : 66,754.76 = 66,754.76 : x
  2. Step 2: Convert to fraction form
    34,206.05/66,754.76 = 66,754.76/x
  3. Step 3: Cross multiply
    34,206.05x = 66,754.76 × 66,754.76
  4. Step 4: Simplify right side
    34,206.05x = 4,456,197,690.61
  5. Step 5: Solve for x
    x = 4,456,197,690.61/34,206.05
  6. Step 6: Final answer
    x = 130,275.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.