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Finding the Third Proportional to 62,442 and 135,967.50

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Solution

The third proportional to 62,442 and 135,967.50 is: 296,069.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,442 : 135,967.50 = 135,967.50 : x
  2. Step 2: Convert to fraction form
    62,442/135,967.50 = 135,967.50/x
  3. Step 3: Cross multiply
    62,442x = 135,967.50 × 135,967.50
  4. Step 4: Simplify right side
    62,442x = 18,487,161,056.25
  5. Step 5: Solve for x
    x = 18,487,161,056.25/62,442
  6. Step 6: Final answer
    x = 296,069.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.