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Finding the Third Proportional to 106,539 and 236,725

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Solution

The third proportional to 106,539 and 236,725 is: 525,992.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,539 : 236,725 = 236,725 : x
  2. Step 2: Convert to fraction form
    106,539/236,725 = 236,725/x
  3. Step 3: Cross multiply
    106,539x = 236,725 × 236,725
  4. Step 4: Simplify right side
    106,539x = 56,038,725,625
  5. Step 5: Solve for x
    x = 56,038,725,625/106,539
  6. Step 6: Final answer
    x = 525,992.60

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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.