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Finding the Third Proportional to 106,552 and 236,752

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Solution

The third proportional to 106,552 and 236,752 is: 526,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,552 : 236,752 = 236,752 : x
  2. Step 2: Convert to fraction form
    106,552/236,752 = 236,752/x
  3. Step 3: Cross multiply
    106,552x = 236,752 × 236,752
  4. Step 4: Simplify right side
    106,552x = 56,051,509,504
  5. Step 5: Solve for x
    x = 56,051,509,504/106,552
  6. Step 6: Final answer
    x = 526,048.40

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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.