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Finding the Third Proportional to 52,466 and 76,683

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Solution

The third proportional to 52,466 and 76,683 is: 112,077.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,466 : 76,683 = 76,683 : x
  2. Step 2: Convert to fraction form
    52,466/76,683 = 76,683/x
  3. Step 3: Cross multiply
    52,466x = 76,683 × 76,683
  4. Step 4: Simplify right side
    52,466x = 5,880,282,489
  5. Step 5: Solve for x
    x = 5,880,282,489/52,466
  6. Step 6: Final answer
    x = 112,077.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.