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Finding the Third Proportional to 62,019 and 105,664.50

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Solution

The third proportional to 62,019 and 105,664.50 is: 180,025.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,019 : 105,664.50 = 105,664.50 : x
  2. Step 2: Convert to fraction form
    62,019/105,664.50 = 105,664.50/x
  3. Step 3: Cross multiply
    62,019x = 105,664.50 × 105,664.50
  4. Step 4: Simplify right side
    62,019x = 11,164,986,560.25
  5. Step 5: Solve for x
    x = 11,164,986,560.25/62,019
  6. Step 6: Final answer
    x = 180,025.26

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.