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Finding the Third Proportional to 34,527 and 74,814

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Solution

The third proportional to 34,527 and 74,814 is: 162,108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,527 : 74,814 = 74,814 : x
  2. Step 2: Convert to fraction form
    34,527/74,814 = 74,814/x
  3. Step 3: Cross multiply
    34,527x = 74,814 × 74,814
  4. Step 4: Simplify right side
    34,527x = 5,597,134,596
  5. Step 5: Solve for x
    x = 5,597,134,596/34,527
  6. Step 6: Final answer
    x = 162,108.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.