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Finding the Third Proportional to 103,611.38 and 152,016.75

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Solution

The third proportional to 103,611.38 and 152,016.75 is: 223,036.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,611.38 : 152,016.75 = 152,016.75 : x
  2. Step 2: Convert to fraction form
    103,611.38/152,016.75 = 152,016.75/x
  3. Step 3: Cross multiply
    103,611.38x = 152,016.75 × 152,016.75
  4. Step 4: Simplify right side
    103,611.38x = 23,109,092,280.56
  5. Step 5: Solve for x
    x = 23,109,092,280.56/103,611.38
  6. Step 6: Final answer
    x = 223,036.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.