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Finding the Third Proportional to 56,754 and 123,453

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Solution

The third proportional to 56,754 and 123,453 is: 268,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,754 : 123,453 = 123,453 : x
  2. Step 2: Convert to fraction form
    56,754/123,453 = 123,453/x
  3. Step 3: Cross multiply
    56,754x = 123,453 × 123,453
  4. Step 4: Simplify right side
    56,754x = 15,240,643,209
  5. Step 5: Solve for x
    x = 15,240,643,209/56,754
  6. Step 6: Final answer
    x = 268,538.66

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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.