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Finding the Third Proportional to 112,492 and 174,116

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Solution

The third proportional to 112,492 and 174,116 is: 269,498.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,492 : 174,116 = 174,116 : x
  2. Step 2: Convert to fraction form
    112,492/174,116 = 174,116/x
  3. Step 3: Cross multiply
    112,492x = 174,116 × 174,116
  4. Step 4: Simplify right side
    112,492x = 30,316,381,456
  5. Step 5: Solve for x
    x = 30,316,381,456/112,492
  6. Step 6: Final answer
    x = 269,498.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.