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Finding the Third Proportional to 56,760 and 123,354

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Solution

The third proportional to 56,760 and 123,354 is: 268,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,760 : 123,354 = 123,354 : x
  2. Step 2: Convert to fraction form
    56,760/123,354 = 123,354/x
  3. Step 3: Cross multiply
    56,760x = 123,354 × 123,354
  4. Step 4: Simplify right side
    56,760x = 15,216,209,316
  5. Step 5: Solve for x
    x = 15,216,209,316/56,760
  6. Step 6: Final answer
    x = 268,079.80

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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.