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Finding the Third Proportional to 109,778 and 157,755

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Solution

The third proportional to 109,778 and 157,755 is: 226,699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,778 : 157,755 = 157,755 : x
  2. Step 2: Convert to fraction form
    109,778/157,755 = 157,755/x
  3. Step 3: Cross multiply
    109,778x = 157,755 × 157,755
  4. Step 4: Simplify right side
    109,778x = 24,886,640,025
  5. Step 5: Solve for x
    x = 24,886,640,025/109,778
  6. Step 6: Final answer
    x = 226,699.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.