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Finding the Third Proportional to 106,536 and 236,720

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Solution

The third proportional to 106,536 and 236,720 is: 525,985.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,536 : 236,720 = 236,720 : x
  2. Step 2: Convert to fraction form
    106,536/236,720 = 236,720/x
  3. Step 3: Cross multiply
    106,536x = 236,720 × 236,720
  4. Step 4: Simplify right side
    106,536x = 56,036,358,400
  5. Step 5: Solve for x
    x = 56,036,358,400/106,536
  6. Step 6: Final answer
    x = 525,985.19

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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.