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Finding the Third Proportional to 56,889 and 81,943.31

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Solution

The third proportional to 56,889 and 81,943.31 is: 118,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,889 : 81,943.31 = 81,943.31 : x
  2. Step 2: Convert to fraction form
    56,889/81,943.31 = 81,943.31/x
  3. Step 3: Cross multiply
    56,889x = 81,943.31 × 81,943.31
  4. Step 4: Simplify right side
    56,889x = 6,714,706,463.47
  5. Step 5: Solve for x
    x = 6,714,706,463.47/56,889
  6. Step 6: Final answer
    x = 118,031.72

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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.