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Finding the Third Proportional to 107,760.38 and 163,136.53

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Solution

The third proportional to 107,760.38 and 163,136.53 is: 246,969.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,760.38 : 163,136.53 = 163,136.53 : x
  2. Step 2: Convert to fraction form
    107,760.38/163,136.53 = 163,136.53/x
  3. Step 3: Cross multiply
    107,760.38x = 163,136.53 × 163,136.53
  4. Step 4: Simplify right side
    107,760.38x = 26,613,527,828.28
  5. Step 5: Solve for x
    x = 26,613,527,828.28/107,760.38
  6. Step 6: Final answer
    x = 246,969.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.