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Finding the Third Proportional to 56,208 and 84,683

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Solution

The third proportional to 56,208 and 84,683 is: 127,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,208 : 84,683 = 84,683 : x
  2. Step 2: Convert to fraction form
    56,208/84,683 = 84,683/x
  3. Step 3: Cross multiply
    56,208x = 84,683 × 84,683
  4. Step 4: Simplify right side
    56,208x = 7,171,210,489
  5. Step 5: Solve for x
    x = 7,171,210,489/56,208
  6. Step 6: Final answer
    x = 127,583.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.