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Finding the Third Proportional to 112,752 and 168,780

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Solution

The third proportional to 112,752 and 168,780 is: 252,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,752 : 168,780 = 168,780 : x
  2. Step 2: Convert to fraction form
    112,752/168,780 = 168,780/x
  3. Step 3: Cross multiply
    112,752x = 168,780 × 168,780
  4. Step 4: Simplify right side
    112,752x = 28,486,688,400
  5. Step 5: Solve for x
    x = 28,486,688,400/112,752
  6. Step 6: Final answer
    x = 252,649.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.