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Finding the Third Proportional to 59,967 and 138,841.50

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Solution

The third proportional to 59,967 and 138,841.50 is: 321,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,967 : 138,841.50 = 138,841.50 : x
  2. Step 2: Convert to fraction form
    59,967/138,841.50 = 138,841.50/x
  3. Step 3: Cross multiply
    59,967x = 138,841.50 × 138,841.50
  4. Step 4: Simplify right side
    59,967x = 19,276,962,122.25
  5. Step 5: Solve for x
    x = 19,276,962,122.25/59,967
  6. Step 6: Final answer
    x = 321,459.50

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.