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Finding the Third Proportional to 58,044 and 123,852

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Solution

The third proportional to 58,044 and 123,852 is: 264,270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,044 : 123,852 = 123,852 : x
  2. Step 2: Convert to fraction form
    58,044/123,852 = 123,852/x
  3. Step 3: Cross multiply
    58,044x = 123,852 × 123,852
  4. Step 4: Simplify right side
    58,044x = 15,339,317,904
  5. Step 5: Solve for x
    x = 15,339,317,904/58,044
  6. Step 6: Final answer
    x = 264,270.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.