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Finding the Third Proportional to 76,084.50 and 111,309

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Solution

The third proportional to 76,084.50 and 111,309 is: 162,841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,084.50 : 111,309 = 111,309 : x
  2. Step 2: Convert to fraction form
    76,084.50/111,309 = 111,309/x
  3. Step 3: Cross multiply
    76,084.50x = 111,309 × 111,309
  4. Step 4: Simplify right side
    76,084.50x = 12,389,693,481
  5. Step 5: Solve for x
    x = 12,389,693,481/76,084.50
  6. Step 6: Final answer
    x = 162,841.23

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.