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Finding the Third Proportional to 121,752 and 173,756

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Solution

The third proportional to 121,752 and 173,756 is: 247,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,752 : 173,756 = 173,756 : x
  2. Step 2: Convert to fraction form
    121,752/173,756 = 173,756/x
  3. Step 3: Cross multiply
    121,752x = 173,756 × 173,756
  4. Step 4: Simplify right side
    121,752x = 30,191,147,536
  5. Step 5: Solve for x
    x = 30,191,147,536/121,752
  6. Step 6: Final answer
    x = 247,972.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.