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Finding the Third Proportional to 56,391 and 122,499

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Solution

The third proportional to 56,391 and 122,499 is: 266,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,391 : 122,499 = 122,499 : x
  2. Step 2: Convert to fraction form
    56,391/122,499 = 122,499/x
  3. Step 3: Cross multiply
    56,391x = 122,499 × 122,499
  4. Step 4: Simplify right side
    56,391x = 15,006,005,001
  5. Step 5: Solve for x
    x = 15,006,005,001/56,391
  6. Step 6: Final answer
    x = 266,106.38

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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.