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Finding the Third Proportional to 103,796 and 160,534

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Solution

The third proportional to 103,796 and 160,534 is: 248,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,796 : 160,534 = 160,534 : x
  2. Step 2: Convert to fraction form
    103,796/160,534 = 160,534/x
  3. Step 3: Cross multiply
    103,796x = 160,534 × 160,534
  4. Step 4: Simplify right side
    103,796x = 25,771,165,156
  5. Step 5: Solve for x
    x = 25,771,165,156/103,796
  6. Step 6: Final answer
    x = 248,286.69

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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.