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Finding the Third Proportional to 56,754 and 123,335

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Solution

The third proportional to 56,754 and 123,335 is: 268,025.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,754 : 123,335 = 123,335 : x
  2. Step 2: Convert to fraction form
    56,754/123,335 = 123,335/x
  3. Step 3: Cross multiply
    56,754x = 123,335 × 123,335
  4. Step 4: Simplify right side
    56,754x = 15,211,522,225
  5. Step 5: Solve for x
    x = 15,211,522,225/56,754
  6. Step 6: Final answer
    x = 268,025.55

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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.