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Finding the Third Proportional to 102,860 and 136,484.50

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Solution

The third proportional to 102,860 and 136,484.50 is: 181,100.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,860 : 136,484.50 = 136,484.50 : x
  2. Step 2: Convert to fraction form
    102,860/136,484.50 = 136,484.50/x
  3. Step 3: Cross multiply
    102,860x = 136,484.50 × 136,484.50
  4. Step 4: Simplify right side
    102,860x = 18,628,018,740.25
  5. Step 5: Solve for x
    x = 18,628,018,740.25/102,860
  6. Step 6: Final answer
    x = 181,100.71

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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.