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Finding the Third Proportional to 56,824 and 83,170

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Solution

The third proportional to 56,824 and 83,170 is: 121,731.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,824 : 83,170 = 83,170 : x
  2. Step 2: Convert to fraction form
    56,824/83,170 = 83,170/x
  3. Step 3: Cross multiply
    56,824x = 83,170 × 83,170
  4. Step 4: Simplify right side
    56,824x = 6,917,248,900
  5. Step 5: Solve for x
    x = 6,917,248,900/56,824
  6. Step 6: Final answer
    x = 121,731.12

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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.