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Finding the Third Proportional to 106,752 and 247,104

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Solution

The third proportional to 106,752 and 247,104 is: 571,983.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,752 : 247,104 = 247,104 : x
  2. Step 2: Convert to fraction form
    106,752/247,104 = 247,104/x
  3. Step 3: Cross multiply
    106,752x = 247,104 × 247,104
  4. Step 4: Simplify right side
    106,752x = 61,060,386,816
  5. Step 5: Solve for x
    x = 61,060,386,816/106,752
  6. Step 6: Final answer
    x = 571,983.54

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.