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Finding the Third Proportional to 112,353 and 171,810

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Solution

The third proportional to 112,353 and 171,810 is: 262,731.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,353 : 171,810 = 171,810 : x
  2. Step 2: Convert to fraction form
    112,353/171,810 = 171,810/x
  3. Step 3: Cross multiply
    112,353x = 171,810 × 171,810
  4. Step 4: Simplify right side
    112,353x = 29,518,676,100
  5. Step 5: Solve for x
    x = 29,518,676,100/112,353
  6. Step 6: Final answer
    x = 262,731.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.