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Finding the Third Proportional to 103,659.75 and 152,178.75

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Solution

The third proportional to 103,659.75 and 152,178.75 is: 223,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,659.75 : 152,178.75 = 152,178.75 : x
  2. Step 2: Convert to fraction form
    103,659.75/152,178.75 = 152,178.75/x
  3. Step 3: Cross multiply
    103,659.75x = 152,178.75 × 152,178.75
  4. Step 4: Simplify right side
    103,659.75x = 23,158,371,951.56
  5. Step 5: Solve for x
    x = 23,158,371,951.56/103,659.75
  6. Step 6: Final answer
    x = 223,407.56

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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.