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Finding the Third Proportional to 112,851 and 157,755

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Solution

The third proportional to 112,851 and 157,755 is: 220,526.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,851 : 157,755 = 157,755 : x
  2. Step 2: Convert to fraction form
    112,851/157,755 = 157,755/x
  3. Step 3: Cross multiply
    112,851x = 157,755 × 157,755
  4. Step 4: Simplify right side
    112,851x = 24,886,640,025
  5. Step 5: Solve for x
    x = 24,886,640,025/112,851
  6. Step 6: Final answer
    x = 220,526.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.