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Finding the Third Proportional to 125,993 and 181,537

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Solution

The third proportional to 125,993 and 181,537 is: 261,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,993 : 181,537 = 181,537 : x
  2. Step 2: Convert to fraction form
    125,993/181,537 = 181,537/x
  3. Step 3: Cross multiply
    125,993x = 181,537 × 181,537
  4. Step 4: Simplify right side
    125,993x = 32,955,682,369
  5. Step 5: Solve for x
    x = 32,955,682,369/125,993
  6. Step 6: Final answer
    x = 261,567.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.