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Finding the Third Proportional to 57,129 and 123,789

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Solution

The third proportional to 57,129 and 123,789 is: 268,230.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,129 : 123,789 = 123,789 : x
  2. Step 2: Convert to fraction form
    57,129/123,789 = 123,789/x
  3. Step 3: Cross multiply
    57,129x = 123,789 × 123,789
  4. Step 4: Simplify right side
    57,129x = 15,323,716,521
  5. Step 5: Solve for x
    x = 15,323,716,521/57,129
  6. Step 6: Final answer
    x = 268,230.08

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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.