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Finding the Third Proportional to 103,619 and 160,613

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Solution

The third proportional to 103,619 and 160,613 is: 248,955.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,619 : 160,613 = 160,613 : x
  2. Step 2: Convert to fraction form
    103,619/160,613 = 160,613/x
  3. Step 3: Cross multiply
    103,619x = 160,613 × 160,613
  4. Step 4: Simplify right side
    103,619x = 25,796,535,769
  5. Step 5: Solve for x
    x = 25,796,535,769/103,619
  6. Step 6: Final answer
    x = 248,955.65

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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.