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Finding the Third Proportional to 102,885.75 and 136,552.50

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Solution

The third proportional to 102,885.75 and 136,552.50 is: 181,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,885.75 : 136,552.50 = 136,552.50 : x
  2. Step 2: Convert to fraction form
    102,885.75/136,552.50 = 136,552.50/x
  3. Step 3: Cross multiply
    102,885.75x = 136,552.50 × 136,552.50
  4. Step 4: Simplify right side
    102,885.75x = 18,646,585,256.25
  5. Step 5: Solve for x
    x = 18,646,585,256.25/102,885.75
  6. Step 6: Final answer
    x = 181,235.84

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.