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Finding the Third Proportional to 56,561 and 122,953

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Solution

The third proportional to 56,561 and 122,953 is: 267,276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,561 : 122,953 = 122,953 : x
  2. Step 2: Convert to fraction form
    56,561/122,953 = 122,953/x
  3. Step 3: Cross multiply
    56,561x = 122,953 × 122,953
  4. Step 4: Simplify right side
    56,561x = 15,117,440,209
  5. Step 5: Solve for x
    x = 15,117,440,209/56,561
  6. Step 6: Final answer
    x = 267,276.75

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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.