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Finding the Third Proportional to 56,683 and 123,572

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Solution

The third proportional to 56,683 and 123,572 is: 269,393.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,683 : 123,572 = 123,572 : x
  2. Step 2: Convert to fraction form
    56,683/123,572 = 123,572/x
  3. Step 3: Cross multiply
    56,683x = 123,572 × 123,572
  4. Step 4: Simplify right side
    56,683x = 15,270,039,184
  5. Step 5: Solve for x
    x = 15,270,039,184/56,683
  6. Step 6: Final answer
    x = 269,393.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.