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Finding the Third Proportional to 109,752 and 236,604

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Solution

The third proportional to 109,752 and 236,604 is: 510,072.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,752 : 236,604 = 236,604 : x
  2. Step 2: Convert to fraction form
    109,752/236,604 = 236,604/x
  3. Step 3: Cross multiply
    109,752x = 236,604 × 236,604
  4. Step 4: Simplify right side
    109,752x = 55,981,452,816
  5. Step 5: Solve for x
    x = 55,981,452,816/109,752
  6. Step 6: Final answer
    x = 510,072.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.