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Finding the Third Proportional to 94,119.50 and 183,510

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Solution

The third proportional to 94,119.50 and 183,510 is: 357,799.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,119.50 : 183,510 = 183,510 : x
  2. Step 2: Convert to fraction form
    94,119.50/183,510 = 183,510/x
  3. Step 3: Cross multiply
    94,119.50x = 183,510 × 183,510
  4. Step 4: Simplify right side
    94,119.50x = 33,675,920,100
  5. Step 5: Solve for x
    x = 33,675,920,100/94,119.50
  6. Step 6: Final answer
    x = 357,799.61

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.