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Finding the Third Proportional to 56,762 and 123,358

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Solution

The third proportional to 56,762 and 123,358 is: 268,087.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,762 : 123,358 = 123,358 : x
  2. Step 2: Convert to fraction form
    56,762/123,358 = 123,358/x
  3. Step 3: Cross multiply
    56,762x = 123,358 × 123,358
  4. Step 4: Simplify right side
    56,762x = 15,217,196,164
  5. Step 5: Solve for x
    x = 15,217,196,164/56,762
  6. Step 6: Final answer
    x = 268,087.74

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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.