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Finding the Third Proportional to 56,812 and 83,466

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Solution

The third proportional to 56,812 and 83,466 is: 122,625.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,812 : 83,466 = 83,466 : x
  2. Step 2: Convert to fraction form
    56,812/83,466 = 83,466/x
  3. Step 3: Cross multiply
    56,812x = 83,466 × 83,466
  4. Step 4: Simplify right side
    56,812x = 6,966,573,156
  5. Step 5: Solve for x
    x = 6,966,573,156/56,812
  6. Step 6: Final answer
    x = 122,625.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.