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Finding the Third Proportional to 56,894 and 81,951

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Solution

The third proportional to 56,894 and 81,951 is: 118,043.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,894 : 81,951 = 81,951 : x
  2. Step 2: Convert to fraction form
    56,894/81,951 = 81,951/x
  3. Step 3: Cross multiply
    56,894x = 81,951 × 81,951
  4. Step 4: Simplify right side
    56,894x = 6,715,966,401
  5. Step 5: Solve for x
    x = 6,715,966,401/56,894
  6. Step 6: Final answer
    x = 118,043.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.