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Finding the Third Proportional to 58,289 and 124,576

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Solution

The third proportional to 58,289 and 124,576 is: 266,245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,289 : 124,576 = 124,576 : x
  2. Step 2: Convert to fraction form
    58,289/124,576 = 124,576/x
  3. Step 3: Cross multiply
    58,289x = 124,576 × 124,576
  4. Step 4: Simplify right side
    58,289x = 15,519,179,776
  5. Step 5: Solve for x
    x = 15,519,179,776/58,289
  6. Step 6: Final answer
    x = 266,245.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.