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Finding the Third Proportional to 56,034 and 84,262

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Solution

The third proportional to 56,034 and 84,262 is: 126,710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,034 : 84,262 = 84,262 : x
  2. Step 2: Convert to fraction form
    56,034/84,262 = 84,262/x
  3. Step 3: Cross multiply
    56,034x = 84,262 × 84,262
  4. Step 4: Simplify right side
    56,034x = 7,100,084,644
  5. Step 5: Solve for x
    x = 7,100,084,644/56,034
  6. Step 6: Final answer
    x = 126,710.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.