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Finding the Third Proportional to 34,931 and 71,476

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Solution

The third proportional to 34,931 and 71,476 is: 146,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,931 : 71,476 = 71,476 : x
  2. Step 2: Convert to fraction form
    34,931/71,476 = 71,476/x
  3. Step 3: Cross multiply
    34,931x = 71,476 × 71,476
  4. Step 4: Simplify right side
    34,931x = 5,108,818,576
  5. Step 5: Solve for x
    x = 5,108,818,576/34,931
  6. Step 6: Final answer
    x = 146,254.58

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.