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Finding the Third Proportional to 56,790 and 123,492

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Solution

The third proportional to 56,790 and 123,492 is: 268,538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,790 : 123,492 = 123,492 : x
  2. Step 2: Convert to fraction form
    56,790/123,492 = 123,492/x
  3. Step 3: Cross multiply
    56,790x = 123,492 × 123,492
  4. Step 4: Simplify right side
    56,790x = 15,250,274,064
  5. Step 5: Solve for x
    x = 15,250,274,064/56,790
  6. Step 6: Final answer
    x = 268,538.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.