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Finding the Third Proportional to 106,537 and 236,723

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Solution

The third proportional to 106,537 and 236,723 is: 525,993.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,537 : 236,723 = 236,723 : x
  2. Step 2: Convert to fraction form
    106,537/236,723 = 236,723/x
  3. Step 3: Cross multiply
    106,537x = 236,723 × 236,723
  4. Step 4: Simplify right side
    106,537x = 56,037,778,729
  5. Step 5: Solve for x
    x = 56,037,778,729/106,537
  6. Step 6: Final answer
    x = 525,993.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.